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Finding the Third Proportional to 690,746,762 and 1,409,240,774

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Solution

The third proportional to 690,746,762 and 1,409,240,774 is: 2,875,090,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,746,762 : 1,409,240,774 = 1,409,240,774 : x
  2. Step 2: Convert to fraction form
    690,746,762/1,409,240,774 = 1,409,240,774/x
  3. Step 3: Cross multiply
    690,746,762x = 1,409,240,774 × 1,409,240,774
  4. Step 4: Simplify right side
    690,746,762x = 1,985,959,559,104,119,040
  5. Step 5: Solve for x
    x = 1,985,959,559,104,119,040/690,746,762
  6. Step 6: Final answer
    x = 2,875,090,653.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.