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Finding the Third Proportional to 116.04 and 250.20

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Solution

The third proportional to 116.04 and 250.20 is: 539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.04 : 250.20 = 250.20 : x
  2. Step 2: Convert to fraction form
    116.04/250.20 = 250.20/x
  3. Step 3: Cross multiply
    116.04x = 250.20 × 250.20
  4. Step 4: Simplify right side
    116.04x = 62,599.16
  5. Step 5: Solve for x
    x = 62,599.16/116.04
  6. Step 6: Final answer
    x = 539.45

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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.