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Finding the Third Proportional to 198,214 and 282,558

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Solution

The third proportional to 198,214 and 282,558 is: 402,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,214 : 282,558 = 282,558 : x
  2. Step 2: Convert to fraction form
    198,214/282,558 = 282,558/x
  3. Step 3: Cross multiply
    198,214x = 282,558 × 282,558
  4. Step 4: Simplify right side
    198,214x = 79,839,023,364
  5. Step 5: Solve for x
    x = 79,839,023,364/198,214
  6. Step 6: Final answer
    x = 402,792.05

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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.