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Finding the Third Proportional to 159,146 and 215,375

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Solution

The third proportional to 159,146 and 215,375 is: 291,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,146 : 215,375 = 215,375 : x
  2. Step 2: Convert to fraction form
    159,146/215,375 = 215,375/x
  3. Step 3: Cross multiply
    159,146x = 215,375 × 215,375
  4. Step 4: Simplify right side
    159,146x = 46,386,390,625
  5. Step 5: Solve for x
    x = 46,386,390,625/159,146
  6. Step 6: Final answer
    x = 291,470.67

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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.