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Finding the Third Proportional to 550,212.75 and 779,149.13

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Solution

The third proportional to 550,212.75 and 779,149.13 is: 1,103,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,212.75 : 779,149.13 = 779,149.13 : x
  2. Step 2: Convert to fraction form
    550,212.75/779,149.13 = 779,149.13/x
  3. Step 3: Cross multiply
    550,212.75x = 779,149.13 × 779,149.13
  4. Step 4: Simplify right side
    550,212.75x = 607,073,358,988.27
  5. Step 5: Solve for x
    x = 607,073,358,988.27/550,212.75
  6. Step 6: Final answer
    x = 1,103,342.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.