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Finding the Third Proportional to 243.47 and 352.40

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Solution

The third proportional to 243.47 and 352.40 is: 510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.47 : 352.40 = 352.40 : x
  2. Step 2: Convert to fraction form
    243.47/352.40 = 352.40/x
  3. Step 3: Cross multiply
    243.47x = 352.40 × 352.40
  4. Step 4: Simplify right side
    243.47x = 124,183.97
  5. Step 5: Solve for x
    x = 124,183.97/243.47
  6. Step 6: Final answer
    x = 510.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.