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Finding the Third Proportional to 81,911 and 128,517

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Solution

The third proportional to 81,911 and 128,517 is: 201,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,911 : 128,517 = 128,517 : x
  2. Step 2: Convert to fraction form
    81,911/128,517 = 128,517/x
  3. Step 3: Cross multiply
    81,911x = 128,517 × 128,517
  4. Step 4: Simplify right side
    81,911x = 16,516,619,289
  5. Step 5: Solve for x
    x = 16,516,619,289/81,911
  6. Step 6: Final answer
    x = 201,641.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.