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Finding the Third Proportional to 4.65 and 7.17

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Solution

The third proportional to 4.65 and 7.17 is: 11.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.65 : 7.17 = 7.17 : x
  2. Step 2: Convert to fraction form
    4.65/7.17 = 7.17/x
  3. Step 3: Cross multiply
    4.65x = 7.17 × 7.17
  4. Step 4: Simplify right side
    4.65x = 51.40
  5. Step 5: Solve for x
    x = 51.40/4.65
  6. Step 6: Final answer
    x = 11.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.