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Finding the Third Proportional to 198,219 and 282,565.50

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Solution

The third proportional to 198,219 and 282,565.50 is: 402,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,219 : 282,565.50 = 282,565.50 : x
  2. Step 2: Convert to fraction form
    198,219/282,565.50 = 282,565.50/x
  3. Step 3: Cross multiply
    198,219x = 282,565.50 × 282,565.50
  4. Step 4: Simplify right side
    198,219x = 79,843,261,790.25
  5. Step 5: Solve for x
    x = 79,843,261,790.25/198,219
  6. Step 6: Final answer
    x = 402,803.27

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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.