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Finding the Third Proportional to 100,572 and 198,600

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Solution

The third proportional to 100,572 and 198,600 is: 392,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572 : 198,600 = 198,600 : x
  2. Step 2: Convert to fraction form
    100,572/198,600 = 198,600/x
  3. Step 3: Cross multiply
    100,572x = 198,600 × 198,600
  4. Step 4: Simplify right side
    100,572x = 39,441,960,000
  5. Step 5: Solve for x
    x = 39,441,960,000/100,572
  6. Step 6: Final answer
    x = 392,176.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.