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Finding the Third Proportional to 103,213.97 and 209,200.78

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Solution

The third proportional to 103,213.97 and 209,200.78 is: 424,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213.97 : 209,200.78 = 209,200.78 : x
  2. Step 2: Convert to fraction form
    103,213.97/209,200.78 = 209,200.78/x
  3. Step 3: Cross multiply
    103,213.97x = 209,200.78 × 209,200.78
  4. Step 4: Simplify right side
    103,213.97x = 43,764,966,875.61
  5. Step 5: Solve for x
    x = 43,764,966,875.61/103,213.97
  6. Step 6: Final answer
    x = 424,021.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.