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Finding the Third Proportional to 67,818 and 97,839

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Solution

The third proportional to 67,818 and 97,839 is: 141,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,818 : 97,839 = 97,839 : x
  2. Step 2: Convert to fraction form
    67,818/97,839 = 97,839/x
  3. Step 3: Cross multiply
    67,818x = 97,839 × 97,839
  4. Step 4: Simplify right side
    67,818x = 9,572,469,921
  5. Step 5: Solve for x
    x = 9,572,469,921/67,818
  6. Step 6: Final answer
    x = 141,149.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.