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Finding the Third Proportional to 521,187.75 and 777,222.75

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Solution

The third proportional to 521,187.75 and 777,222.75 is: 1,159,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,187.75 : 777,222.75 = 777,222.75 : x
  2. Step 2: Convert to fraction form
    521,187.75/777,222.75 = 777,222.75/x
  3. Step 3: Cross multiply
    521,187.75x = 777,222.75 × 777,222.75
  4. Step 4: Simplify right side
    521,187.75x = 604,075,203,117.56
  5. Step 5: Solve for x
    x = 604,075,203,117.56/521,187.75
  6. Step 6: Final answer
    x = 1,159,035.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.