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Finding the Third Proportional to 132,290 and 290,919

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Solution

The third proportional to 132,290 and 290,919 is: 639,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,290 : 290,919 = 290,919 : x
  2. Step 2: Convert to fraction form
    132,290/290,919 = 290,919/x
  3. Step 3: Cross multiply
    132,290x = 290,919 × 290,919
  4. Step 4: Simplify right side
    132,290x = 84,633,864,561
  5. Step 5: Solve for x
    x = 84,633,864,561/132,290
  6. Step 6: Final answer
    x = 639,760.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.