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Finding the Third Proportional to 198,272 and 282,645

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Solution

The third proportional to 198,272 and 282,645 is: 402,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,272 : 282,645 = 282,645 : x
  2. Step 2: Convert to fraction form
    198,272/282,645 = 282,645/x
  3. Step 3: Cross multiply
    198,272x = 282,645 × 282,645
  4. Step 4: Simplify right side
    198,272x = 79,888,196,025
  5. Step 5: Solve for x
    x = 79,888,196,025/198,272
  6. Step 6: Final answer
    x = 402,922.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.