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Finding the Third Proportional to 0.61 and 0.66

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Solution

The third proportional to 0.61 and 0.66 is: 0.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.61 : 0.66 = 0.66 : x
  2. Step 2: Convert to fraction form
    0.61/0.66 = 0.66/x
  3. Step 3: Cross multiply
    0.61x = 0.66 × 0.66
  4. Step 4: Simplify right side
    0.61x = 0.43
  5. Step 5: Solve for x
    x = 0.43/0.61
  6. Step 6: Final answer
    x = 0.71

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.