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Finding the Third Proportional to 69,304 and 146,876

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Solution

The third proportional to 69,304 and 146,876 is: 311,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,304 : 146,876 = 146,876 : x
  2. Step 2: Convert to fraction form
    69,304/146,876 = 146,876/x
  3. Step 3: Cross multiply
    69,304x = 146,876 × 146,876
  4. Step 4: Simplify right side
    69,304x = 21,572,559,376
  5. Step 5: Solve for x
    x = 21,572,559,376/69,304
  6. Step 6: Final answer
    x = 311,274.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.