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Finding the Third Proportional to 331,298 and 727,681

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Solution

The third proportional to 331,298 and 727,681 is: 1,598,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,298 : 727,681 = 727,681 : x
  2. Step 2: Convert to fraction form
    331,298/727,681 = 727,681/x
  3. Step 3: Cross multiply
    331,298x = 727,681 × 727,681
  4. Step 4: Simplify right side
    331,298x = 529,519,637,761
  5. Step 5: Solve for x
    x = 529,519,637,761/331,298
  6. Step 6: Final answer
    x = 1,598,318.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.