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Finding the Third Proportional to 260,781.75 and 372,217.50

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Solution

The third proportional to 260,781.75 and 372,217.50 is: 531,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,781.75 : 372,217.50 = 372,217.50 : x
  2. Step 2: Convert to fraction form
    260,781.75/372,217.50 = 372,217.50/x
  3. Step 3: Cross multiply
    260,781.75x = 372,217.50 × 372,217.50
  4. Step 4: Simplify right side
    260,781.75x = 138,545,867,306.25
  5. Step 5: Solve for x
    x = 138,545,867,306.25/260,781.75
  6. Step 6: Final answer
    x = 531,271.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.