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Finding the Third Proportional to 91,210 and 136,451

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Solution

The third proportional to 91,210 and 136,451 is: 204,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,210 : 136,451 = 136,451 : x
  2. Step 2: Convert to fraction form
    91,210/136,451 = 136,451/x
  3. Step 3: Cross multiply
    91,210x = 136,451 × 136,451
  4. Step 4: Simplify right side
    91,210x = 18,618,875,401
  5. Step 5: Solve for x
    x = 18,618,875,401/91,210
  6. Step 6: Final answer
    x = 204,131.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.