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Finding the Third Proportional to 84,483 and 122,755.50

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Solution

The third proportional to 84,483 and 122,755.50 is: 178,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,483 : 122,755.50 = 122,755.50 : x
  2. Step 2: Convert to fraction form
    84,483/122,755.50 = 122,755.50/x
  3. Step 3: Cross multiply
    84,483x = 122,755.50 × 122,755.50
  4. Step 4: Simplify right side
    84,483x = 15,068,912,780.25
  5. Step 5: Solve for x
    x = 15,068,912,780.25/84,483
  6. Step 6: Final answer
    x = 178,366.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.