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Finding the Third Proportional to 118.16 and 250.34

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Solution

The third proportional to 118.16 and 250.34 is: 530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.16 : 250.34 = 250.34 : x
  2. Step 2: Convert to fraction form
    118.16/250.34 = 250.34/x
  3. Step 3: Cross multiply
    118.16x = 250.34 × 250.34
  4. Step 4: Simplify right side
    118.16x = 62,671.99
  5. Step 5: Solve for x
    x = 62,671.99/118.16
  6. Step 6: Final answer
    x = 530.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.