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Finding the Third Proportional to 515,346 and 802,464

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Solution

The third proportional to 515,346 and 802,464 is: 1,249,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,346 : 802,464 = 802,464 : x
  2. Step 2: Convert to fraction form
    515,346/802,464 = 802,464/x
  3. Step 3: Cross multiply
    515,346x = 802,464 × 802,464
  4. Step 4: Simplify right side
    515,346x = 643,948,471,296
  5. Step 5: Solve for x
    x = 643,948,471,296/515,346
  6. Step 6: Final answer
    x = 1,249,545.88

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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.