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Finding the Third Proportional to 6.64 and 8.07

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Solution

The third proportional to 6.64 and 8.07 is: 9.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.64 : 8.07 = 8.07 : x
  2. Step 2: Convert to fraction form
    6.64/8.07 = 8.07/x
  3. Step 3: Cross multiply
    6.64x = 8.07 × 8.07
  4. Step 4: Simplify right side
    6.64x = 65.10
  5. Step 5: Solve for x
    x = 65.10/6.64
  6. Step 6: Final answer
    x = 9.80

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.