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Finding the Third Proportional to 18,665.44 and 40,312.69

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Solution

The third proportional to 18,665.44 and 40,312.69 is: 87,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665.44 : 40,312.69 = 40,312.69 : x
  2. Step 2: Convert to fraction form
    18,665.44/40,312.69 = 40,312.69/x
  3. Step 3: Cross multiply
    18,665.44x = 40,312.69 × 40,312.69
  4. Step 4: Simplify right side
    18,665.44x = 1,625,112,773.47
  5. Step 5: Solve for x
    x = 1,625,112,773.47/18,665.44
  6. Step 6: Final answer
    x = 87,065.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.