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Finding the Third Proportional to 91,126.50 and 128,269

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Solution

The third proportional to 91,126.50 and 128,269 is: 180,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,126.50 : 128,269 = 128,269 : x
  2. Step 2: Convert to fraction form
    91,126.50/128,269 = 128,269/x
  3. Step 3: Cross multiply
    91,126.50x = 128,269 × 128,269
  4. Step 4: Simplify right side
    91,126.50x = 16,452,936,361
  5. Step 5: Solve for x
    x = 16,452,936,361/91,126.50
  6. Step 6: Final answer
    x = 180,550.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.