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Finding the Third Proportional to 515,350 and 802,471

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Solution

The third proportional to 515,350 and 802,471 is: 1,249,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,350 : 802,471 = 802,471 : x
  2. Step 2: Convert to fraction form
    515,350/802,471 = 802,471/x
  3. Step 3: Cross multiply
    515,350x = 802,471 × 802,471
  4. Step 4: Simplify right side
    515,350x = 643,959,705,841
  5. Step 5: Solve for x
    x = 643,959,705,841/515,350
  6. Step 6: Final answer
    x = 1,249,557.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.