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Finding the Third Proportional to 69,253 and 148,849

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Solution

The third proportional to 69,253 and 148,849 is: 319,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,253 : 148,849 = 148,849 : x
  2. Step 2: Convert to fraction form
    69,253/148,849 = 148,849/x
  3. Step 3: Cross multiply
    69,253x = 148,849 × 148,849
  4. Step 4: Simplify right side
    69,253x = 22,156,024,801
  5. Step 5: Solve for x
    x = 22,156,024,801/69,253
  6. Step 6: Final answer
    x = 319,928.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.