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Finding the Third Proportional to 198,218 and 282,565

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Solution

The third proportional to 198,218 and 282,565 is: 402,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,218 : 282,565 = 282,565 : x
  2. Step 2: Convert to fraction form
    198,218/282,565 = 282,565/x
  3. Step 3: Cross multiply
    198,218x = 282,565 × 282,565
  4. Step 4: Simplify right side
    198,218x = 79,842,979,225
  5. Step 5: Solve for x
    x = 79,842,979,225/198,218
  6. Step 6: Final answer
    x = 402,803.88

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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.