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Finding the Third Proportional to 100,400 and 209,124

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Solution

The third proportional to 100,400 and 209,124 is: 435,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,400 : 209,124 = 209,124 : x
  2. Step 2: Convert to fraction form
    100,400/209,124 = 209,124/x
  3. Step 3: Cross multiply
    100,400x = 209,124 × 209,124
  4. Step 4: Simplify right side
    100,400x = 43,732,847,376
  5. Step 5: Solve for x
    x = 43,732,847,376/100,400
  6. Step 6: Final answer
    x = 435,586.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.