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Finding the Third Proportional to 67,812 and 98,638

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Solution

The third proportional to 67,812 and 98,638 is: 143,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,812 : 98,638 = 98,638 : x
  2. Step 2: Convert to fraction form
    67,812/98,638 = 98,638/x
  3. Step 3: Cross multiply
    67,812x = 98,638 × 98,638
  4. Step 4: Simplify right side
    67,812x = 9,729,455,044
  5. Step 5: Solve for x
    x = 9,729,455,044/67,812
  6. Step 6: Final answer
    x = 143,476.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.