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Finding the Third Proportional to 8.65 and 19.20

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Solution

The third proportional to 8.65 and 19.20 is: 42.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.65 : 19.20 = 19.20 : x
  2. Step 2: Convert to fraction form
    8.65/19.20 = 19.20/x
  3. Step 3: Cross multiply
    8.65x = 19.20 × 19.20
  4. Step 4: Simplify right side
    8.65x = 368.46
  5. Step 5: Solve for x
    x = 368.46/8.65
  6. Step 6: Final answer
    x = 42.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.