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Finding the Third Proportional to 120,107.25 and 261,355.50

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Solution

The third proportional to 120,107.25 and 261,355.50 is: 568,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,107.25 : 261,355.50 = 261,355.50 : x
  2. Step 2: Convert to fraction form
    120,107.25/261,355.50 = 261,355.50/x
  3. Step 3: Cross multiply
    120,107.25x = 261,355.50 × 261,355.50
  4. Step 4: Simplify right side
    120,107.25x = 68,306,697,380.25
  5. Step 5: Solve for x
    x = 68,306,697,380.25/120,107.25
  6. Step 6: Final answer
    x = 568,714.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.