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Finding the Third Proportional to 2.47 and 6.40

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Solution

The third proportional to 2.47 and 6.40 is: 16.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.47 : 6.40 = 6.40 : x
  2. Step 2: Convert to fraction form
    2.47/6.40 = 6.40/x
  3. Step 3: Cross multiply
    2.47x = 6.40 × 6.40
  4. Step 4: Simplify right side
    2.47x = 41.02
  5. Step 5: Solve for x
    x = 41.02/2.47
  6. Step 6: Final answer
    x = 16.64

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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.