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Finding the Third Proportional to 180,018 and 387,738

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Solution

The third proportional to 180,018 and 387,738 is: 835,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,018 : 387,738 = 387,738 : x
  2. Step 2: Convert to fraction form
    180,018/387,738 = 387,738/x
  3. Step 3: Cross multiply
    180,018x = 387,738 × 387,738
  4. Step 4: Simplify right side
    180,018x = 150,340,756,644
  5. Step 5: Solve for x
    x = 150,340,756,644/180,018
  6. Step 6: Final answer
    x = 835,142.91

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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.