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Finding the Third Proportional to 10.59 and 22.59

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Solution

The third proportional to 10.59 and 22.59 is: 48.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.59 : 22.59 = 22.59 : x
  2. Step 2: Convert to fraction form
    10.59/22.59 = 22.59/x
  3. Step 3: Cross multiply
    10.59x = 22.59 × 22.59
  4. Step 4: Simplify right side
    10.59x = 510.48
  5. Step 5: Solve for x
    x = 510.48/10.59
  6. Step 6: Final answer
    x = 48.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.