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Finding the Third Proportional to 198,942.75 and 308,053.13

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Solution

The third proportional to 198,942.75 and 308,053.13 is: 477,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,942.75 : 308,053.13 = 308,053.13 : x
  2. Step 2: Convert to fraction form
    198,942.75/308,053.13 = 308,053.13/x
  3. Step 3: Cross multiply
    198,942.75x = 308,053.13 × 308,053.13
  4. Step 4: Simplify right side
    198,942.75x = 94,896,727,822.27
  5. Step 5: Solve for x
    x = 94,896,727,822.27/198,942.75
  6. Step 6: Final answer
    x = 477,005.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.