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Finding the Third Proportional to 180,516.38 and 386,651.25

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Solution

The third proportional to 180,516.38 and 386,651.25 is: 828,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,516.38 : 386,651.25 = 386,651.25 : x
  2. Step 2: Convert to fraction form
    180,516.38/386,651.25 = 386,651.25/x
  3. Step 3: Cross multiply
    180,516.38x = 386,651.25 × 386,651.25
  4. Step 4: Simplify right side
    180,516.38x = 149,499,189,126.56
  5. Step 5: Solve for x
    x = 149,499,189,126.56/180,516.38
  6. Step 6: Final answer
    x = 828,175.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.