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Finding the Third Proportional to 198,237.75 and 319,193.25

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Solution

The third proportional to 198,237.75 and 319,193.25 is: 513,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,237.75 : 319,193.25 = 319,193.25 : x
  2. Step 2: Convert to fraction form
    198,237.75/319,193.25 = 319,193.25/x
  3. Step 3: Cross multiply
    198,237.75x = 319,193.25 × 319,193.25
  4. Step 4: Simplify right side
    198,237.75x = 101,884,330,845.56
  5. Step 5: Solve for x
    x = 101,884,330,845.56/198,237.75
  6. Step 6: Final answer
    x = 513,950.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.