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Finding the Third Proportional to 198,292.50 and 409,923

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Solution

The third proportional to 198,292.50 and 409,923 is: 847,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,292.50 : 409,923 = 409,923 : x
  2. Step 2: Convert to fraction form
    198,292.50/409,923 = 409,923/x
  3. Step 3: Cross multiply
    198,292.50x = 409,923 × 409,923
  4. Step 4: Simplify right side
    198,292.50x = 168,036,865,929
  5. Step 5: Solve for x
    x = 168,036,865,929/198,292.50
  6. Step 6: Final answer
    x = 847,419.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.