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Finding the Third Proportional to 10.65 and 19.77

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Solution

The third proportional to 10.65 and 19.77 is: 36.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.65 : 19.77 = 19.77 : x
  2. Step 2: Convert to fraction form
    10.65/19.77 = 19.77/x
  3. Step 3: Cross multiply
    10.65x = 19.77 × 19.77
  4. Step 4: Simplify right side
    10.65x = 390.93
  5. Step 5: Solve for x
    x = 390.93/10.65
  6. Step 6: Final answer
    x = 36.69

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.