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Finding the Third Proportional to 0.78 and 1.65

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Solution

The third proportional to 0.78 and 1.65 is: 3.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.78 : 1.65 = 1.65 : x
  2. Step 2: Convert to fraction form
    0.78/1.65 = 1.65/x
  3. Step 3: Cross multiply
    0.78x = 1.65 × 1.65
  4. Step 4: Simplify right side
    0.78x = 2.72
  5. Step 5: Solve for x
    x = 2.72/0.78
  6. Step 6: Final answer
    x = 3.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.