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Finding the Third Proportional to 185,942 and 280,659

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Solution

The third proportional to 185,942 and 280,659 is: 423,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,942 : 280,659 = 280,659 : x
  2. Step 2: Convert to fraction form
    185,942/280,659 = 280,659/x
  3. Step 3: Cross multiply
    185,942x = 280,659 × 280,659
  4. Step 4: Simplify right side
    185,942x = 78,769,474,281
  5. Step 5: Solve for x
    x = 78,769,474,281/185,942
  6. Step 6: Final answer
    x = 423,623.89

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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.