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Finding the Third Proportional to 42,454.50 and 89,040

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Solution

The third proportional to 42,454.50 and 89,040 is: 186,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,454.50 : 89,040 = 89,040 : x
  2. Step 2: Convert to fraction form
    42,454.50/89,040 = 89,040/x
  3. Step 3: Cross multiply
    42,454.50x = 89,040 × 89,040
  4. Step 4: Simplify right side
    42,454.50x = 7,928,121,600
  5. Step 5: Solve for x
    x = 7,928,121,600/42,454.50
  6. Step 6: Final answer
    x = 186,743.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.