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Finding the Third Proportional to 159,074 and 215,267

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Solution

The third proportional to 159,074 and 215,267 is: 291,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,074 : 215,267 = 215,267 : x
  2. Step 2: Convert to fraction form
    159,074/215,267 = 215,267/x
  3. Step 3: Cross multiply
    159,074x = 215,267 × 215,267
  4. Step 4: Simplify right side
    159,074x = 46,339,881,289
  5. Step 5: Solve for x
    x = 46,339,881,289/159,074
  6. Step 6: Final answer
    x = 291,310.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.