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Finding the Third Proportional to 2.40 and 6.25

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Solution

The third proportional to 2.40 and 6.25 is: 16.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.40 : 6.25 = 6.25 : x
  2. Step 2: Convert to fraction form
    2.40/6.25 = 6.25/x
  3. Step 3: Cross multiply
    2.40x = 6.25 × 6.25
  4. Step 4: Simplify right side
    2.40x = 39.02
  5. Step 5: Solve for x
    x = 39.02/2.40
  6. Step 6: Final answer
    x = 16.22

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.