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Finding the Third Proportional to 171,387 and 256,320.75

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Solution

The third proportional to 171,387 and 256,320.75 is: 383,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,387 : 256,320.75 = 256,320.75 : x
  2. Step 2: Convert to fraction form
    171,387/256,320.75 = 256,320.75/x
  3. Step 3: Cross multiply
    171,387x = 256,320.75 × 256,320.75
  4. Step 4: Simplify right side
    171,387x = 65,700,326,880.56
  5. Step 5: Solve for x
    x = 65,700,326,880.56/171,387
  6. Step 6: Final answer
    x = 383,344.87

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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.