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Finding the Third Proportional to 120,539 and 230,138

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Solution

The third proportional to 120,539 and 230,138 is: 439,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,539 : 230,138 = 230,138 : x
  2. Step 2: Convert to fraction form
    120,539/230,138 = 230,138/x
  3. Step 3: Cross multiply
    120,539x = 230,138 × 230,138
  4. Step 4: Simplify right side
    120,539x = 52,963,499,044
  5. Step 5: Solve for x
    x = 52,963,499,044/120,539
  6. Step 6: Final answer
    x = 439,388.90

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.