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Finding the Third Proportional to 18,407.25 and 40,505.06

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Solution

The third proportional to 18,407.25 and 40,505.06 is: 89,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407.25 : 40,505.06 = 40,505.06 : x
  2. Step 2: Convert to fraction form
    18,407.25/40,505.06 = 40,505.06/x
  3. Step 3: Cross multiply
    18,407.25x = 40,505.06 × 40,505.06
  4. Step 4: Simplify right side
    18,407.25x = 1,640,660,088.13
  5. Step 5: Solve for x
    x = 1,640,660,088.13/18,407.25
  6. Step 6: Final answer
    x = 89,131.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.