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Finding the Third Proportional to 243.47 and 317.16

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Solution

The third proportional to 243.47 and 317.16 is: 413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.47 : 317.16 = 317.16 : x
  2. Step 2: Convert to fraction form
    243.47/317.16 = 317.16/x
  3. Step 3: Cross multiply
    243.47x = 317.16 × 317.16
  4. Step 4: Simplify right side
    243.47x = 100,589.02
  5. Step 5: Solve for x
    x = 100,589.02/243.47
  6. Step 6: Final answer
    x = 413.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.