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Finding the Third Proportional to 69,048 and 148,959

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Solution

The third proportional to 69,048 and 148,959 is: 321,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,048 : 148,959 = 148,959 : x
  2. Step 2: Convert to fraction form
    69,048/148,959 = 148,959/x
  3. Step 3: Cross multiply
    69,048x = 148,959 × 148,959
  4. Step 4: Simplify right side
    69,048x = 22,188,783,681
  5. Step 5: Solve for x
    x = 22,188,783,681/69,048
  6. Step 6: Final answer
    x = 321,353.03

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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.