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Finding the Third Proportional to 195,640.13 and 311,211.38

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Solution

The third proportional to 195,640.13 and 311,211.38 is: 495,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,640.13 : 311,211.38 = 311,211.38 : x
  2. Step 2: Convert to fraction form
    195,640.13/311,211.38 = 311,211.38/x
  3. Step 3: Cross multiply
    195,640.13x = 311,211.38 × 311,211.38
  4. Step 4: Simplify right side
    195,640.13x = 96,852,519,929.39
  5. Step 5: Solve for x
    x = 96,852,519,929.39/195,640.13
  6. Step 6: Final answer
    x = 495,054.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.