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Finding the Third Proportional to 256,432 and 425,614

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Solution

The third proportional to 256,432 and 425,614 is: 706,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,432 : 425,614 = 425,614 : x
  2. Step 2: Convert to fraction form
    256,432/425,614 = 425,614/x
  3. Step 3: Cross multiply
    256,432x = 425,614 × 425,614
  4. Step 4: Simplify right side
    256,432x = 181,147,276,996
  5. Step 5: Solve for x
    x = 181,147,276,996/256,432
  6. Step 6: Final answer
    x = 706,414.48

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.