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Finding the Third Proportional to 25.13 and 55.50

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Solution

The third proportional to 25.13 and 55.50 is: 122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.13 : 55.50 = 55.50 : x
  2. Step 2: Convert to fraction form
    25.13/55.50 = 55.50/x
  3. Step 3: Cross multiply
    25.13x = 55.50 × 55.50
  4. Step 4: Simplify right side
    25.13x = 3,080.25
  5. Step 5: Solve for x
    x = 3,080.25/25.13
  6. Step 6: Final answer
    x = 122.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.