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Finding the Third Proportional to 187,150 and 280,482

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Solution

The third proportional to 187,150 and 280,482 is: 420,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,150 : 280,482 = 280,482 : x
  2. Step 2: Convert to fraction form
    187,150/280,482 = 280,482/x
  3. Step 3: Cross multiply
    187,150x = 280,482 × 280,482
  4. Step 4: Simplify right side
    187,150x = 78,670,152,324
  5. Step 5: Solve for x
    x = 78,670,152,324/187,150
  6. Step 6: Final answer
    x = 420,358.82

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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.