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Finding the Third Proportional to 23,662.13 and 40,515.19

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Solution

The third proportional to 23,662.13 and 40,515.19 is: 69,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.13 : 40,515.19 = 40,515.19 : x
  2. Step 2: Convert to fraction form
    23,662.13/40,515.19 = 40,515.19/x
  3. Step 3: Cross multiply
    23,662.13x = 40,515.19 × 40,515.19
  4. Step 4: Simplify right side
    23,662.13x = 1,641,480,418.16
  5. Step 5: Solve for x
    x = 1,641,480,418.16/23,662.13
  6. Step 6: Final answer
    x = 69,371.64

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.