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Finding the Third Proportional to 187,182 and 280,681

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Solution

The third proportional to 187,182 and 280,681 is: 420,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,182 : 280,681 = 280,681 : x
  2. Step 2: Convert to fraction form
    187,182/280,681 = 280,681/x
  3. Step 3: Cross multiply
    187,182x = 280,681 × 280,681
  4. Step 4: Simplify right side
    187,182x = 78,781,823,761
  5. Step 5: Solve for x
    x = 78,781,823,761/187,182
  6. Step 6: Final answer
    x = 420,883.55

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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.