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Finding the Third Proportional to 185,820 and 280,472

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Solution

The third proportional to 185,820 and 280,472 is: 423,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820 : 280,472 = 280,472 : x
  2. Step 2: Convert to fraction form
    185,820/280,472 = 280,472/x
  3. Step 3: Cross multiply
    185,820x = 280,472 × 280,472
  4. Step 4: Simplify right side
    185,820x = 78,664,542,784
  5. Step 5: Solve for x
    x = 78,664,542,784/185,820
  6. Step 6: Final answer
    x = 423,337.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.