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Finding the Third Proportional to 84,511 and 129,911

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Solution

The third proportional to 84,511 and 129,911 is: 199,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,511 : 129,911 = 129,911 : x
  2. Step 2: Convert to fraction form
    84,511/129,911 = 129,911/x
  3. Step 3: Cross multiply
    84,511x = 129,911 × 129,911
  4. Step 4: Simplify right side
    84,511x = 16,876,867,921
  5. Step 5: Solve for x
    x = 16,876,867,921/84,511
  6. Step 6: Final answer
    x = 199,700.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.