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Finding the Third Proportional to 85,488 and 132,711

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Solution

The third proportional to 85,488 and 132,711 is: 206,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,488 : 132,711 = 132,711 : x
  2. Step 2: Convert to fraction form
    85,488/132,711 = 132,711/x
  3. Step 3: Cross multiply
    85,488x = 132,711 × 132,711
  4. Step 4: Simplify right side
    85,488x = 17,612,209,521
  5. Step 5: Solve for x
    x = 17,612,209,521/85,488
  6. Step 6: Final answer
    x = 206,019.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.