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Finding the Third Proportional to 224.25 and 296.87

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Solution

The third proportional to 224.25 and 296.87 is: 393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 296.87 = 296.87 : x
  2. Step 2: Convert to fraction form
    224.25/296.87 = 296.87/x
  3. Step 3: Cross multiply
    224.25x = 296.87 × 296.87
  4. Step 4: Simplify right side
    224.25x = 88,130.71
  5. Step 5: Solve for x
    x = 88,130.71/224.25
  6. Step 6: Final answer
    x = 393.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.