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Finding the Third Proportional to 279,549 and 372,448.50

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Solution

The third proportional to 279,549 and 372,448.50 is: 496,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,549 : 372,448.50 = 372,448.50 : x
  2. Step 2: Convert to fraction form
    279,549/372,448.50 = 372,448.50/x
  3. Step 3: Cross multiply
    279,549x = 372,448.50 × 372,448.50
  4. Step 4: Simplify right side
    279,549x = 138,717,885,152.25
  5. Step 5: Solve for x
    x = 138,717,885,152.25/279,549
  6. Step 6: Final answer
    x = 496,220.29

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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.