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Finding the Third Proportional to 171,641 and 256,489

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Solution

The third proportional to 171,641 and 256,489 is: 383,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,641 : 256,489 = 256,489 : x
  2. Step 2: Convert to fraction form
    171,641/256,489 = 256,489/x
  3. Step 3: Cross multiply
    171,641x = 256,489 × 256,489
  4. Step 4: Simplify right side
    171,641x = 65,786,607,121
  5. Step 5: Solve for x
    x = 65,786,607,121/171,641
  6. Step 6: Final answer
    x = 383,280.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.