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Finding the Third Proportional to 508,536 and 787,919

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Solution

The third proportional to 508,536 and 787,919 is: 1,220,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,536 : 787,919 = 787,919 : x
  2. Step 2: Convert to fraction form
    508,536/787,919 = 787,919/x
  3. Step 3: Cross multiply
    508,536x = 787,919 × 787,919
  4. Step 4: Simplify right side
    508,536x = 620,816,350,561
  5. Step 5: Solve for x
    x = 620,816,350,561/508,536
  6. Step 6: Final answer
    x = 1,220,791.35

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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.