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Finding the Third Proportional to 198,448.31 and 428,727.94

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Solution

The third proportional to 198,448.31 and 428,727.94 is: 926,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,448.31 : 428,727.94 = 428,727.94 : x
  2. Step 2: Convert to fraction form
    198,448.31/428,727.94 = 428,727.94/x
  3. Step 3: Cross multiply
    198,448.31x = 428,727.94 × 428,727.94
  4. Step 4: Simplify right side
    198,448.31x = 183,807,644,393.00
  5. Step 5: Solve for x
    x = 183,807,644,393.00/198,448.31
  6. Step 6: Final answer
    x = 926,224.28

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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.