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Finding the Third Proportional to 103,512.38 and 221,780.25

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Solution

The third proportional to 103,512.38 and 221,780.25 is: 475,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,512.38 : 221,780.25 = 221,780.25 : x
  2. Step 2: Convert to fraction form
    103,512.38/221,780.25 = 221,780.25/x
  3. Step 3: Cross multiply
    103,512.38x = 221,780.25 × 221,780.25
  4. Step 4: Simplify right side
    103,512.38x = 49,186,479,290.06
  5. Step 5: Solve for x
    x = 49,186,479,290.06/103,512.38
  6. Step 6: Final answer
    x = 475,174.87

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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.