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Finding the Third Proportional to 247.28 and 534.22

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Solution

The third proportional to 247.28 and 534.22 is: 1,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.28 : 534.22 = 534.22 : x
  2. Step 2: Convert to fraction form
    247.28/534.22 = 534.22/x
  3. Step 3: Cross multiply
    247.28x = 534.22 × 534.22
  4. Step 4: Simplify right side
    247.28x = 285,389.67
  5. Step 5: Solve for x
    x = 285,389.67/247.28
  6. Step 6: Final answer
    x = 1,154.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.