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Finding the Third Proportional to 5.86 and 6.56

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Solution

The third proportional to 5.86 and 6.56 is: 7.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.86 : 6.56 = 6.56 : x
  2. Step 2: Convert to fraction form
    5.86/6.56 = 6.56/x
  3. Step 3: Cross multiply
    5.86x = 6.56 × 6.56
  4. Step 4: Simplify right side
    5.86x = 43.07
  5. Step 5: Solve for x
    x = 43.07/5.86
  6. Step 6: Final answer
    x = 7.35

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.