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Finding the Third Proportional to 69,331.50 and 141,948

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Solution

The third proportional to 69,331.50 and 141,948 is: 290,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,331.50 : 141,948 = 141,948 : x
  2. Step 2: Convert to fraction form
    69,331.50/141,948 = 141,948/x
  3. Step 3: Cross multiply
    69,331.50x = 141,948 × 141,948
  4. Step 4: Simplify right side
    69,331.50x = 20,149,234,704
  5. Step 5: Solve for x
    x = 20,149,234,704/69,331.50
  6. Step 6: Final answer
    x = 290,621.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.