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Finding the Third Proportional to 7.65 and 16.20

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Solution

The third proportional to 7.65 and 16.20 is: 34.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 16.20 = 16.20 : x
  2. Step 2: Convert to fraction form
    7.65/16.20 = 16.20/x
  3. Step 3: Cross multiply
    7.65x = 16.20 × 16.20
  4. Step 4: Simplify right side
    7.65x = 262.31
  5. Step 5: Solve for x
    x = 262.31/7.65
  6. Step 6: Final answer
    x = 34.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.