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Finding the Third Proportional to 10.86 and 15.93

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Solution

The third proportional to 10.86 and 15.93 is: 23.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.86 : 15.93 = 15.93 : x
  2. Step 2: Convert to fraction form
    10.86/15.93 = 15.93/x
  3. Step 3: Cross multiply
    10.86x = 15.93 × 15.93
  4. Step 4: Simplify right side
    10.86x = 253.74
  5. Step 5: Solve for x
    x = 253.74/10.86
  6. Step 6: Final answer
    x = 23.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.