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Finding the Third Proportional to 36,147 and 78,342

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Solution

The third proportional to 36,147 and 78,342 is: 169,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,147 : 78,342 = 78,342 : x
  2. Step 2: Convert to fraction form
    36,147/78,342 = 78,342/x
  3. Step 3: Cross multiply
    36,147x = 78,342 × 78,342
  4. Step 4: Simplify right side
    36,147x = 6,137,468,964
  5. Step 5: Solve for x
    x = 6,137,468,964/36,147
  6. Step 6: Final answer
    x = 169,791.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.