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Finding the Third Proportional to 10.30 and 15.52

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Solution

The third proportional to 10.30 and 15.52 is: 23.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.30 : 15.52 = 15.52 : x
  2. Step 2: Convert to fraction form
    10.30/15.52 = 15.52/x
  3. Step 3: Cross multiply
    10.30x = 15.52 × 15.52
  4. Step 4: Simplify right side
    10.30x = 240.76
  5. Step 5: Solve for x
    x = 240.76/10.30
  6. Step 6: Final answer
    x = 23.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.