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Finding the Third Proportional to 198,441 and 282,901.50

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Solution

The third proportional to 198,441 and 282,901.50 is: 403,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,441 : 282,901.50 = 282,901.50 : x
  2. Step 2: Convert to fraction form
    198,441/282,901.50 = 282,901.50/x
  3. Step 3: Cross multiply
    198,441x = 282,901.50 × 282,901.50
  4. Step 4: Simplify right side
    198,441x = 80,033,258,702.25
  5. Step 5: Solve for x
    x = 80,033,258,702.25/198,441
  6. Step 6: Final answer
    x = 403,310.10

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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.