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Finding the Third Proportional to 10.31 and 24.09

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Solution

The third proportional to 10.31 and 24.09 is: 56.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.31 : 24.09 = 24.09 : x
  2. Step 2: Convert to fraction form
    10.31/24.09 = 24.09/x
  3. Step 3: Cross multiply
    10.31x = 24.09 × 24.09
  4. Step 4: Simplify right side
    10.31x = 580.51
  5. Step 5: Solve for x
    x = 580.51/10.31
  6. Step 6: Final answer
    x = 56.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.