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Finding the Third Proportional to 5.14 and 8.57

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Solution

The third proportional to 5.14 and 8.57 is: 14.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 8.57 = 8.57 : x
  2. Step 2: Convert to fraction form
    5.14/8.57 = 8.57/x
  3. Step 3: Cross multiply
    5.14x = 8.57 × 8.57
  4. Step 4: Simplify right side
    5.14x = 73.45
  5. Step 5: Solve for x
    x = 73.45/5.14
  6. Step 6: Final answer
    x = 14.28

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.