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Finding the Third Proportional to 23,581.13 and 29,823.19

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Solution

The third proportional to 23,581.13 and 29,823.19 is: 37,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,581.13 : 29,823.19 = 29,823.19 : x
  2. Step 2: Convert to fraction form
    23,581.13/29,823.19 = 29,823.19/x
  3. Step 3: Cross multiply
    23,581.13x = 29,823.19 × 29,823.19
  4. Step 4: Simplify right side
    23,581.13x = 889,422,512.66
  5. Step 5: Solve for x
    x = 889,422,512.66/23,581.13
  6. Step 6: Final answer
    x = 37,717.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.