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Finding the Third Proportional to 520,870 and 782,691

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Solution

The third proportional to 520,870 and 782,691 is: 1,176,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,870 : 782,691 = 782,691 : x
  2. Step 2: Convert to fraction form
    520,870/782,691 = 782,691/x
  3. Step 3: Cross multiply
    520,870x = 782,691 × 782,691
  4. Step 4: Simplify right side
    520,870x = 612,605,201,481
  5. Step 5: Solve for x
    x = 612,605,201,481/520,870
  6. Step 6: Final answer
    x = 1,176,119.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.