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Finding the Third Proportional to 187,769 and 288,214

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Solution

The third proportional to 187,769 and 288,214 is: 442,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,769 : 288,214 = 288,214 : x
  2. Step 2: Convert to fraction form
    187,769/288,214 = 288,214/x
  3. Step 3: Cross multiply
    187,769x = 288,214 × 288,214
  4. Step 4: Simplify right side
    187,769x = 83,067,309,796
  5. Step 5: Solve for x
    x = 83,067,309,796/187,769
  6. Step 6: Final answer
    x = 442,390.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.