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Finding the Third Proportional to 256,599 and 397,350

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Solution

The third proportional to 256,599 and 397,350 is: 615,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,599 : 397,350 = 397,350 : x
  2. Step 2: Convert to fraction form
    256,599/397,350 = 397,350/x
  3. Step 3: Cross multiply
    256,599x = 397,350 × 397,350
  4. Step 4: Simplify right side
    256,599x = 157,887,022,500
  5. Step 5: Solve for x
    x = 157,887,022,500/256,599
  6. Step 6: Final answer
    x = 615,306.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.