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Finding the Third Proportional to 79,880 and 87,560

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Solution

The third proportional to 79,880 and 87,560 is: 95,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,880 : 87,560 = 87,560 : x
  2. Step 2: Convert to fraction form
    79,880/87,560 = 87,560/x
  3. Step 3: Cross multiply
    79,880x = 87,560 × 87,560
  4. Step 4: Simplify right side
    79,880x = 7,666,753,600
  5. Step 5: Solve for x
    x = 7,666,753,600/79,880
  6. Step 6: Final answer
    x = 95,978.39

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.