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Finding the Third Proportional to 198,217 and 282,563

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Solution

The third proportional to 198,217 and 282,563 is: 402,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,217 : 282,563 = 282,563 : x
  2. Step 2: Convert to fraction form
    198,217/282,563 = 282,563/x
  3. Step 3: Cross multiply
    198,217x = 282,563 × 282,563
  4. Step 4: Simplify right side
    198,217x = 79,841,848,969
  5. Step 5: Solve for x
    x = 79,841,848,969/198,217
  6. Step 6: Final answer
    x = 402,800.21

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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.