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Finding the Third Proportional to 171,432 and 256,979

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Solution

The third proportional to 171,432 and 256,979 is: 385,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,432 : 256,979 = 256,979 : x
  2. Step 2: Convert to fraction form
    171,432/256,979 = 256,979/x
  3. Step 3: Cross multiply
    171,432x = 256,979 × 256,979
  4. Step 4: Simplify right side
    171,432x = 66,038,206,441
  5. Step 5: Solve for x
    x = 66,038,206,441/171,432
  6. Step 6: Final answer
    x = 385,215.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.