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Finding the Third Proportional to 68,377 and 147,689

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Solution

The third proportional to 68,377 and 147,689 is: 318,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,377 : 147,689 = 147,689 : x
  2. Step 2: Convert to fraction form
    68,377/147,689 = 147,689/x
  3. Step 3: Cross multiply
    68,377x = 147,689 × 147,689
  4. Step 4: Simplify right side
    68,377x = 21,812,040,721
  5. Step 5: Solve for x
    x = 21,812,040,721/68,377
  6. Step 6: Final answer
    x = 318,996.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.