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Finding the Third Proportional to 306,876 and 471,012

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Solution

The third proportional to 306,876 and 471,012 is: 722,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,876 : 471,012 = 471,012 : x
  2. Step 2: Convert to fraction form
    306,876/471,012 = 471,012/x
  3. Step 3: Cross multiply
    306,876x = 471,012 × 471,012
  4. Step 4: Simplify right side
    306,876x = 221,852,304,144
  5. Step 5: Solve for x
    x = 221,852,304,144/306,876
  6. Step 6: Final answer
    x = 722,937.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.