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Finding the Third Proportional to 159,129 and 343,165

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Solution

The third proportional to 159,129 and 343,165 is: 740,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,129 : 343,165 = 343,165 : x
  2. Step 2: Convert to fraction form
    159,129/343,165 = 343,165/x
  3. Step 3: Cross multiply
    159,129x = 343,165 × 343,165
  4. Step 4: Simplify right side
    159,129x = 117,762,217,225
  5. Step 5: Solve for x
    x = 117,762,217,225/159,129
  6. Step 6: Final answer
    x = 740,042.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.