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Finding the Third Proportional to 71,498 and 153,958

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Solution

The third proportional to 71,498 and 153,958 is: 331,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,498 : 153,958 = 153,958 : x
  2. Step 2: Convert to fraction form
    71,498/153,958 = 153,958/x
  3. Step 3: Cross multiply
    71,498x = 153,958 × 153,958
  4. Step 4: Simplify right side
    71,498x = 23,703,065,764
  5. Step 5: Solve for x
    x = 23,703,065,764/71,498
  6. Step 6: Final answer
    x = 331,520.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.