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Finding the Third Proportional to 69,326.50 and 141,939

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Solution

The third proportional to 69,326.50 and 141,939 is: 290,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,326.50 : 141,939 = 141,939 : x
  2. Step 2: Convert to fraction form
    69,326.50/141,939 = 141,939/x
  3. Step 3: Cross multiply
    69,326.50x = 141,939 × 141,939
  4. Step 4: Simplify right side
    69,326.50x = 20,146,679,721
  5. Step 5: Solve for x
    x = 20,146,679,721/69,326.50
  6. Step 6: Final answer
    x = 290,605.75

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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.