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Finding the Third Proportional to 792,269,523,985 and 1,716,096,332,888

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Solution

The third proportional to 792,269,523,985 and 1,716,096,332,888 is: 3,717,152,477,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,269,523,985 : 1,716,096,332,888 = 1,716,096,332,888 : x
  2. Step 2: Convert to fraction form
    792,269,523,985/1,716,096,332,888 = 1,716,096,332,888/x
  3. Step 3: Cross multiply
    792,269,523,985x = 1,716,096,332,888 × 1,716,096,332,888
  4. Step 4: Simplify right side
    792,269,523,985x = 2,944,986,623,751,641,184,075,776
  5. Step 5: Solve for x
    x = 2,944,986,623,751,641,184,075,776/792,269,523,985
  6. Step 6: Final answer
    x = 3,717,152,477,276.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.