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Finding the Third Proportional to 278,003.81 and 610,135.88

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Solution

The third proportional to 278,003.81 and 610,135.88 is: 1,339,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,003.81 : 610,135.88 = 610,135.88 : x
  2. Step 2: Convert to fraction form
    278,003.81/610,135.88 = 610,135.88/x
  3. Step 3: Cross multiply
    278,003.81x = 610,135.88 × 610,135.88
  4. Step 4: Simplify right side
    278,003.81x = 372,265,785,962.02
  5. Step 5: Solve for x
    x = 372,265,785,962.02/278,003.81
  6. Step 6: Final answer
    x = 1,339,067.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.