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Finding the Third Proportional to 256,598 and 397,349

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Solution

The third proportional to 256,598 and 397,349 is: 615,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,598 : 397,349 = 397,349 : x
  2. Step 2: Convert to fraction form
    256,598/397,349 = 397,349/x
  3. Step 3: Cross multiply
    256,598x = 397,349 × 397,349
  4. Step 4: Simplify right side
    256,598x = 157,886,227,801
  5. Step 5: Solve for x
    x = 157,886,227,801/256,598
  6. Step 6: Final answer
    x = 615,305.76

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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.