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Finding the Third Proportional to 198,934.31 and 407,060.44

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Solution

The third proportional to 198,934.31 and 407,060.44 is: 832,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,934.31 : 407,060.44 = 407,060.44 : x
  2. Step 2: Convert to fraction form
    198,934.31/407,060.44 = 407,060.44/x
  3. Step 3: Cross multiply
    198,934.31x = 407,060.44 × 407,060.44
  4. Step 4: Simplify right side
    198,934.31x = 165,698,199,777.69
  5. Step 5: Solve for x
    x = 165,698,199,777.69/198,934.31
  6. Step 6: Final answer
    x = 832,929.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.