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Finding the Third Proportional to 198,249 and 428,754

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Solution

The third proportional to 198,249 and 428,754 is: 927,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,249 : 428,754 = 428,754 : x
  2. Step 2: Convert to fraction form
    198,249/428,754 = 428,754/x
  3. Step 3: Cross multiply
    198,249x = 428,754 × 428,754
  4. Step 4: Simplify right side
    198,249x = 183,829,992,516
  5. Step 5: Solve for x
    x = 183,829,992,516/198,249
  6. Step 6: Final answer
    x = 927,268.20

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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.