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Finding the Third Proportional to 138,834.75 and 297,355.50

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Solution

The third proportional to 138,834.75 and 297,355.50 is: 636,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,834.75 : 297,355.50 = 297,355.50 : x
  2. Step 2: Convert to fraction form
    138,834.75/297,355.50 = 297,355.50/x
  3. Step 3: Cross multiply
    138,834.75x = 297,355.50 × 297,355.50
  4. Step 4: Simplify right side
    138,834.75x = 88,420,293,380.25
  5. Step 5: Solve for x
    x = 88,420,293,380.25/138,834.75
  6. Step 6: Final answer
    x = 636,874.37

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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.