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Finding the Third Proportional to 42,954.50 and 87,117

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Solution

The third proportional to 42,954.50 and 87,117 is: 176,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954.50 : 87,117 = 87,117 : x
  2. Step 2: Convert to fraction form
    42,954.50/87,117 = 87,117/x
  3. Step 3: Cross multiply
    42,954.50x = 87,117 × 87,117
  4. Step 4: Simplify right side
    42,954.50x = 7,589,371,689
  5. Step 5: Solve for x
    x = 7,589,371,689/42,954.50
  6. Step 6: Final answer
    x = 176,683.97

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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.