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Finding the Third Proportional to 8.10 and 9.15

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Solution

The third proportional to 8.10 and 9.15 is: 10.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.10 : 9.15 = 9.15 : x
  2. Step 2: Convert to fraction form
    8.10/9.15 = 9.15/x
  3. Step 3: Cross multiply
    8.10x = 9.15 × 9.15
  4. Step 4: Simplify right side
    8.10x = 83.81
  5. Step 5: Solve for x
    x = 83.81/8.10
  6. Step 6: Final answer
    x = 10.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.