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Finding the Third Proportional to 43,840 and 67,902

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Solution

The third proportional to 43,840 and 67,902 is: 105,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,840 : 67,902 = 67,902 : x
  2. Step 2: Convert to fraction form
    43,840/67,902 = 67,902/x
  3. Step 3: Cross multiply
    43,840x = 67,902 × 67,902
  4. Step 4: Simplify right side
    43,840x = 4,610,681,604
  5. Step 5: Solve for x
    x = 4,610,681,604/43,840
  6. Step 6: Final answer
    x = 105,170.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.