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Finding the Third Proportional to 69,211 and 141,567

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Solution

The third proportional to 69,211 and 141,567 is: 289,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,211 : 141,567 = 141,567 : x
  2. Step 2: Convert to fraction form
    69,211/141,567 = 141,567/x
  3. Step 3: Cross multiply
    69,211x = 141,567 × 141,567
  4. Step 4: Simplify right side
    69,211x = 20,041,215,489
  5. Step 5: Solve for x
    x = 20,041,215,489/69,211
  6. Step 6: Final answer
    x = 289,566.91

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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.