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Finding the Third Proportional to 69,080 and 149,050

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Solution

The third proportional to 69,080 and 149,050 is: 321,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,080 : 149,050 = 149,050 : x
  2. Step 2: Convert to fraction form
    69,080/149,050 = 149,050/x
  3. Step 3: Cross multiply
    69,080x = 149,050 × 149,050
  4. Step 4: Simplify right side
    69,080x = 22,215,902,500
  5. Step 5: Solve for x
    x = 22,215,902,500/69,080
  6. Step 6: Final answer
    x = 321,596.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.