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Finding the Third Proportional to 25.13 and 62.20

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Solution

The third proportional to 25.13 and 62.20 is: 154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.13 : 62.20 = 62.20 : x
  2. Step 2: Convert to fraction form
    25.13/62.20 = 62.20/x
  3. Step 3: Cross multiply
    25.13x = 62.20 × 62.20
  4. Step 4: Simplify right side
    25.13x = 3,869.23
  5. Step 5: Solve for x
    x = 3,869.23/25.13
  6. Step 6: Final answer
    x = 154.00

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.