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Finding the Third Proportional to 71,689 and 155,953

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Solution

The third proportional to 71,689 and 155,953 is: 339,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,689 : 155,953 = 155,953 : x
  2. Step 2: Convert to fraction form
    71,689/155,953 = 155,953/x
  3. Step 3: Cross multiply
    71,689x = 155,953 × 155,953
  4. Step 4: Simplify right side
    71,689x = 24,321,338,209
  5. Step 5: Solve for x
    x = 24,321,338,209/71,689
  6. Step 6: Final answer
    x = 339,261.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.