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Finding the Third Proportional to 103,257.75 and 218,902.50

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Solution

The third proportional to 103,257.75 and 218,902.50 is: 464,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,257.75 : 218,902.50 = 218,902.50 : x
  2. Step 2: Convert to fraction form
    103,257.75/218,902.50 = 218,902.50/x
  3. Step 3: Cross multiply
    103,257.75x = 218,902.50 × 218,902.50
  4. Step 4: Simplify right side
    103,257.75x = 47,918,304,506.25
  5. Step 5: Solve for x
    x = 47,918,304,506.25/103,257.75
  6. Step 6: Final answer
    x = 464,064.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.