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Finding the Third Proportional to 279,542.81 and 372,443.06

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Solution

The third proportional to 279,542.81 and 372,443.06 is: 496,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,542.81 : 372,443.06 = 372,443.06 : x
  2. Step 2: Convert to fraction form
    279,542.81/372,443.06 = 372,443.06/x
  3. Step 3: Cross multiply
    279,542.81x = 372,443.06 × 372,443.06
  4. Step 4: Simplify right side
    279,542.81x = 138,713,834,804.38
  5. Step 5: Solve for x
    x = 138,713,834,804.38/279,542.81
  6. Step 6: Final answer
    x = 496,216.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.