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Finding the Third Proportional to 508,720 and 787,349

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Solution

The third proportional to 508,720 and 787,349 is: 1,218,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,720 : 787,349 = 787,349 : x
  2. Step 2: Convert to fraction form
    508,720/787,349 = 787,349/x
  3. Step 3: Cross multiply
    508,720x = 787,349 × 787,349
  4. Step 4: Simplify right side
    508,720x = 619,918,447,801
  5. Step 5: Solve for x
    x = 619,918,447,801/508,720
  6. Step 6: Final answer
    x = 1,218,584.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.