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Finding the Third Proportional to 68,914.13 and 140,744.25

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Solution

The third proportional to 68,914.13 and 140,744.25 is: 287,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,914.13 : 140,744.25 = 140,744.25 : x
  2. Step 2: Convert to fraction form
    68,914.13/140,744.25 = 140,744.25/x
  3. Step 3: Cross multiply
    68,914.13x = 140,744.25 × 140,744.25
  4. Step 4: Simplify right side
    68,914.13x = 19,808,943,908.06
  5. Step 5: Solve for x
    x = 19,808,943,908.06/68,914.13
  6. Step 6: Final answer
    x = 287,443.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.