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Finding the Third Proportional to 70,988 and 156,379

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Solution

The third proportional to 70,988 and 156,379 is: 344,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988 : 156,379 = 156,379 : x
  2. Step 2: Convert to fraction form
    70,988/156,379 = 156,379/x
  3. Step 3: Cross multiply
    70,988x = 156,379 × 156,379
  4. Step 4: Simplify right side
    70,988x = 24,454,391,641
  5. Step 5: Solve for x
    x = 24,454,391,641/70,988
  6. Step 6: Final answer
    x = 344,486.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.