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Finding the Third Proportional to 40,639 and 86,911

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Solution

The third proportional to 40,639 and 86,911 is: 185,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,639 : 86,911 = 86,911 : x
  2. Step 2: Convert to fraction form
    40,639/86,911 = 86,911/x
  3. Step 3: Cross multiply
    40,639x = 86,911 × 86,911
  4. Step 4: Simplify right side
    40,639x = 7,553,521,921
  5. Step 5: Solve for x
    x = 7,553,521,921/40,639
  6. Step 6: Final answer
    x = 185,868.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.