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Finding the Third Proportional to 78,324 and 126,114

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Solution

The third proportional to 78,324 and 126,114 is: 203,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324 : 126,114 = 126,114 : x
  2. Step 2: Convert to fraction form
    78,324/126,114 = 126,114/x
  3. Step 3: Cross multiply
    78,324x = 126,114 × 126,114
  4. Step 4: Simplify right side
    78,324x = 15,904,740,996
  5. Step 5: Solve for x
    x = 15,904,740,996/78,324
  6. Step 6: Final answer
    x = 203,063.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.