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Finding the Third Proportional to 198,448 and 428,000

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Solution

The third proportional to 198,448 and 428,000 is: 923,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,448 : 428,000 = 428,000 : x
  2. Step 2: Convert to fraction form
    198,448/428,000 = 428,000/x
  3. Step 3: Cross multiply
    198,448x = 428,000 × 428,000
  4. Step 4: Simplify right side
    198,448x = 183,184,000,000
  5. Step 5: Solve for x
    x = 183,184,000,000/198,448
  6. Step 6: Final answer
    x = 923,083.13

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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.