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Finding the Third Proportional to 391,981 and 552,012.25

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Solution

The third proportional to 391,981 and 552,012.25 is: 777,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,981 : 552,012.25 = 552,012.25 : x
  2. Step 2: Convert to fraction form
    391,981/552,012.25 = 552,012.25/x
  3. Step 3: Cross multiply
    391,981x = 552,012.25 × 552,012.25
  4. Step 4: Simplify right side
    391,981x = 304,717,524,150.06
  5. Step 5: Solve for x
    x = 304,717,524,150.06/391,981
  6. Step 6: Final answer
    x = 777,378.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.