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Finding the Third Proportional to 180,042 and 387,969

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Solution

The third proportional to 180,042 and 387,969 is: 836,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,042 : 387,969 = 387,969 : x
  2. Step 2: Convert to fraction form
    180,042/387,969 = 387,969/x
  3. Step 3: Cross multiply
    180,042x = 387,969 × 387,969
  4. Step 4: Simplify right side
    180,042x = 150,519,944,961
  5. Step 5: Solve for x
    x = 150,519,944,961/180,042
  6. Step 6: Final answer
    x = 836,026.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.