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Finding the Third Proportional to 10.20 and 14.95

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Solution

The third proportional to 10.20 and 14.95 is: 21.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.20 : 14.95 = 14.95 : x
  2. Step 2: Convert to fraction form
    10.20/14.95 = 14.95/x
  3. Step 3: Cross multiply
    10.20x = 14.95 × 14.95
  4. Step 4: Simplify right side
    10.20x = 223.51
  5. Step 5: Solve for x
    x = 223.51/10.20
  6. Step 6: Final answer
    x = 21.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.