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Finding the Third Proportional to 81,733.50 and 124,977.38

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Solution

The third proportional to 81,733.50 and 124,977.38 is: 191,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,733.50 : 124,977.38 = 124,977.38 : x
  2. Step 2: Convert to fraction form
    81,733.50/124,977.38 = 124,977.38/x
  3. Step 3: Cross multiply
    81,733.50x = 124,977.38 × 124,977.38
  4. Step 4: Simplify right side
    81,733.50x = 15,619,344,261.89
  5. Step 5: Solve for x
    x = 15,619,344,261.89/81,733.50
  6. Step 6: Final answer
    x = 191,100.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.