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Finding the Third Proportional to 18,948.66 and 40,207.78

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Solution

The third proportional to 18,948.66 and 40,207.78 is: 85,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,948.66 : 40,207.78 = 40,207.78 : x
  2. Step 2: Convert to fraction form
    18,948.66/40,207.78 = 40,207.78/x
  3. Step 3: Cross multiply
    18,948.66x = 40,207.78 × 40,207.78
  4. Step 4: Simplify right side
    18,948.66x = 1,616,665,673.05
  5. Step 5: Solve for x
    x = 1,616,665,673.05/18,948.66
  6. Step 6: Final answer
    x = 85,318.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.