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Finding the Third Proportional to 100,586.25 and 218,472.75

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Solution

The third proportional to 100,586.25 and 218,472.75 is: 474,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586.25 : 218,472.75 = 218,472.75 : x
  2. Step 2: Convert to fraction form
    100,586.25/218,472.75 = 218,472.75/x
  3. Step 3: Cross multiply
    100,586.25x = 218,472.75 × 218,472.75
  4. Step 4: Simplify right side
    100,586.25x = 47,730,342,492.56
  5. Step 5: Solve for x
    x = 47,730,342,492.56/100,586.25
  6. Step 6: Final answer
    x = 474,521.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.