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Finding the Third Proportional to 132,287 and 290,913

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Solution

The third proportional to 132,287 and 290,913 is: 639,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,287 : 290,913 = 290,913 : x
  2. Step 2: Convert to fraction form
    132,287/290,913 = 290,913/x
  3. Step 3: Cross multiply
    132,287x = 290,913 × 290,913
  4. Step 4: Simplify right side
    132,287x = 84,630,373,569
  5. Step 5: Solve for x
    x = 84,630,373,569/132,287
  6. Step 6: Final answer
    x = 639,748.23

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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.