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Finding the Third Proportional to 521,408 and 779,784

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Solution

The third proportional to 521,408 and 779,784 is: 1,166,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,408 : 779,784 = 779,784 : x
  2. Step 2: Convert to fraction form
    521,408/779,784 = 779,784/x
  3. Step 3: Cross multiply
    521,408x = 779,784 × 779,784
  4. Step 4: Simplify right side
    521,408x = 608,063,086,656
  5. Step 5: Solve for x
    x = 608,063,086,656/521,408
  6. Step 6: Final answer
    x = 1,166,194.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.