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Finding the Third Proportional to 243.56 and 297.14

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Solution

The third proportional to 243.56 and 297.14 is: 362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.56 : 297.14 = 297.14 : x
  2. Step 2: Convert to fraction form
    243.56/297.14 = 297.14/x
  3. Step 3: Cross multiply
    243.56x = 297.14 × 297.14
  4. Step 4: Simplify right side
    243.56x = 88,292.55
  5. Step 5: Solve for x
    x = 88,292.55/243.56
  6. Step 6: Final answer
    x = 362.50

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.