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Finding the Third Proportional to 110.43 and 237.52

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Solution

The third proportional to 110.43 and 237.52 is: 510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.43 : 237.52 = 237.52 : x
  2. Step 2: Convert to fraction form
    110.43/237.52 = 237.52/x
  3. Step 3: Cross multiply
    110.43x = 237.52 × 237.52
  4. Step 4: Simplify right side
    110.43x = 56,413.67
  5. Step 5: Solve for x
    x = 56,413.67/110.43
  6. Step 6: Final answer
    x = 510.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.