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Finding the Third Proportional to 198,452 and 428,735

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Solution

The third proportional to 198,452 and 428,735 is: 926,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,452 : 428,735 = 428,735 : x
  2. Step 2: Convert to fraction form
    198,452/428,735 = 428,735/x
  3. Step 3: Cross multiply
    198,452x = 428,735 × 428,735
  4. Step 4: Simplify right side
    198,452x = 183,813,700,225
  5. Step 5: Solve for x
    x = 183,813,700,225/198,452
  6. Step 6: Final answer
    x = 926,237.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.