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Finding the Third Proportional to 132,291 and 290,922

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Solution

The third proportional to 132,291 and 290,922 is: 639,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,291 : 290,922 = 290,922 : x
  2. Step 2: Convert to fraction form
    132,291/290,922 = 290,922/x
  3. Step 3: Cross multiply
    132,291x = 290,922 × 290,922
  4. Step 4: Simplify right side
    132,291x = 84,635,610,084
  5. Step 5: Solve for x
    x = 84,635,610,084/132,291
  6. Step 6: Final answer
    x = 639,768.47

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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.