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Finding the Third Proportional to 61,511 and 88,880

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Solution

The third proportional to 61,511 and 88,880 is: 128,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,511 : 88,880 = 88,880 : x
  2. Step 2: Convert to fraction form
    61,511/88,880 = 88,880/x
  3. Step 3: Cross multiply
    61,511x = 88,880 × 88,880
  4. Step 4: Simplify right side
    61,511x = 7,899,654,400
  5. Step 5: Solve for x
    x = 7,899,654,400/61,511
  6. Step 6: Final answer
    x = 128,426.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.