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Finding the Third Proportional to 159,000 and 215,172

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Solution

The third proportional to 159,000 and 215,172 is: 291,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,000 : 215,172 = 215,172 : x
  2. Step 2: Convert to fraction form
    159,000/215,172 = 215,172/x
  3. Step 3: Cross multiply
    159,000x = 215,172 × 215,172
  4. Step 4: Simplify right side
    159,000x = 46,298,989,584
  5. Step 5: Solve for x
    x = 46,298,989,584/159,000
  6. Step 6: Final answer
    x = 291,188.61

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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.