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Finding the Third Proportional to 515,439 and 757,711

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Solution

The third proportional to 515,439 and 757,711 is: 1,113,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,439 : 757,711 = 757,711 : x
  2. Step 2: Convert to fraction form
    515,439/757,711 = 757,711/x
  3. Step 3: Cross multiply
    515,439x = 757,711 × 757,711
  4. Step 4: Simplify right side
    515,439x = 574,125,959,521
  5. Step 5: Solve for x
    x = 574,125,959,521/515,439
  6. Step 6: Final answer
    x = 1,113,858.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.