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Finding the Third Proportional to 42,390 and 66,147

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Solution

The third proportional to 42,390 and 66,147 is: 103,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,390 : 66,147 = 66,147 : x
  2. Step 2: Convert to fraction form
    42,390/66,147 = 66,147/x
  3. Step 3: Cross multiply
    42,390x = 66,147 × 66,147
  4. Step 4: Simplify right side
    42,390x = 4,375,425,609
  5. Step 5: Solve for x
    x = 4,375,425,609/42,390
  6. Step 6: Final answer
    x = 103,218.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.