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Finding the Third Proportional to 8.45 and 9.70

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Solution

The third proportional to 8.45 and 9.70 is: 11.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.45 : 9.70 = 9.70 : x
  2. Step 2: Convert to fraction form
    8.45/9.70 = 9.70/x
  3. Step 3: Cross multiply
    8.45x = 9.70 × 9.70
  4. Step 4: Simplify right side
    8.45x = 94.08
  5. Step 5: Solve for x
    x = 94.08/8.45
  6. Step 6: Final answer
    x = 11.14

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.