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Finding the Third Proportional to 42,955.50 and 87,119

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Solution

The third proportional to 42,955.50 and 87,119 is: 176,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,955.50 : 87,119 = 87,119 : x
  2. Step 2: Convert to fraction form
    42,955.50/87,119 = 87,119/x
  3. Step 3: Cross multiply
    42,955.50x = 87,119 × 87,119
  4. Step 4: Simplify right side
    42,955.50x = 7,589,720,161
  5. Step 5: Solve for x
    x = 7,589,720,161/42,955.50
  6. Step 6: Final answer
    x = 176,687.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.