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Finding the Third Proportional to 279,531 and 372,424.50

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Solution

The third proportional to 279,531 and 372,424.50 is: 496,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,531 : 372,424.50 = 372,424.50 : x
  2. Step 2: Convert to fraction form
    279,531/372,424.50 = 372,424.50/x
  3. Step 3: Cross multiply
    279,531x = 372,424.50 × 372,424.50
  4. Step 4: Simplify right side
    279,531x = 138,700,008,200.25
  5. Step 5: Solve for x
    x = 138,700,008,200.25/279,531
  6. Step 6: Final answer
    x = 496,188.29

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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.