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Finding the Third Proportional to 51,480.50 and 94,418

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Solution

The third proportional to 51,480.50 and 94,418 is: 173,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480.50 : 94,418 = 94,418 : x
  2. Step 2: Convert to fraction form
    51,480.50/94,418 = 94,418/x
  3. Step 3: Cross multiply
    51,480.50x = 94,418 × 94,418
  4. Step 4: Simplify right side
    51,480.50x = 8,914,758,724
  5. Step 5: Solve for x
    x = 8,914,758,724/51,480.50
  6. Step 6: Final answer
    x = 173,167.68

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.