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Finding the Third Proportional to 198,720 and 310,176

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Solution

The third proportional to 198,720 and 310,176 is: 484,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,720 : 310,176 = 310,176 : x
  2. Step 2: Convert to fraction form
    198,720/310,176 = 310,176/x
  3. Step 3: Cross multiply
    198,720x = 310,176 × 310,176
  4. Step 4: Simplify right side
    198,720x = 96,209,150,976
  5. Step 5: Solve for x
    x = 96,209,150,976/198,720
  6. Step 6: Final answer
    x = 484,144.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.