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Finding the Third Proportional to 100,497.38 and 212,658.75

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Solution

The third proportional to 100,497.38 and 212,658.75 is: 449,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,497.38 : 212,658.75 = 212,658.75 : x
  2. Step 2: Convert to fraction form
    100,497.38/212,658.75 = 212,658.75/x
  3. Step 3: Cross multiply
    100,497.38x = 212,658.75 × 212,658.75
  4. Step 4: Simplify right side
    100,497.38x = 45,223,743,951.56
  5. Step 5: Solve for x
    x = 45,223,743,951.56/100,497.38
  6. Step 6: Final answer
    x = 449,999.26

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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.