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Finding the Third Proportional to 91,451 and 121,378

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Solution

The third proportional to 91,451 and 121,378 is: 161,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,451 : 121,378 = 121,378 : x
  2. Step 2: Convert to fraction form
    91,451/121,378 = 121,378/x
  3. Step 3: Cross multiply
    91,451x = 121,378 × 121,378
  4. Step 4: Simplify right side
    91,451x = 14,732,618,884
  5. Step 5: Solve for x
    x = 14,732,618,884/91,451
  6. Step 6: Final answer
    x = 161,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.