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Finding the Third Proportional to 521,182 and 777,218

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Solution

The third proportional to 521,182 and 777,218 is: 1,159,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,182 : 777,218 = 777,218 : x
  2. Step 2: Convert to fraction form
    521,182/777,218 = 777,218/x
  3. Step 3: Cross multiply
    521,182x = 777,218 × 777,218
  4. Step 4: Simplify right side
    521,182x = 604,067,819,524
  5. Step 5: Solve for x
    x = 604,067,819,524/521,182
  6. Step 6: Final answer
    x = 1,159,034.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.