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Finding the Third Proportional to 69,337 and 149,047

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Solution

The third proportional to 69,337 and 149,047 is: 320,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,337 : 149,047 = 149,047 : x
  2. Step 2: Convert to fraction form
    69,337/149,047 = 149,047/x
  3. Step 3: Cross multiply
    69,337x = 149,047 × 149,047
  4. Step 4: Simplify right side
    69,337x = 22,215,008,209
  5. Step 5: Solve for x
    x = 22,215,008,209/69,337
  6. Step 6: Final answer
    x = 320,391.83

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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.