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Finding the Third Proportional to 386,265 and 519,778.50

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Solution

The third proportional to 386,265 and 519,778.50 is: 699,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,265 : 519,778.50 = 519,778.50 : x
  2. Step 2: Convert to fraction form
    386,265/519,778.50 = 519,778.50/x
  3. Step 3: Cross multiply
    386,265x = 519,778.50 × 519,778.50
  4. Step 4: Simplify right side
    386,265x = 270,169,689,062.25
  5. Step 5: Solve for x
    x = 270,169,689,062.25/386,265
  6. Step 6: Final answer
    x = 699,441.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.