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Finding the Third Proportional to 198,215 and 282,559

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Solution

The third proportional to 198,215 and 282,559 is: 402,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,215 : 282,559 = 282,559 : x
  2. Step 2: Convert to fraction form
    198,215/282,559 = 282,559/x
  3. Step 3: Cross multiply
    198,215x = 282,559 × 282,559
  4. Step 4: Simplify right side
    198,215x = 79,839,588,481
  5. Step 5: Solve for x
    x = 79,839,588,481/198,215
  6. Step 6: Final answer
    x = 402,792.87

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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.