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Finding the Third Proportional to 398,119.50 and 866,223

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Solution

The third proportional to 398,119.50 and 866,223 is: 1,884,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,119.50 : 866,223 = 866,223 : x
  2. Step 2: Convert to fraction form
    398,119.50/866,223 = 866,223/x
  3. Step 3: Cross multiply
    398,119.50x = 866,223 × 866,223
  4. Step 4: Simplify right side
    398,119.50x = 750,342,285,729
  5. Step 5: Solve for x
    x = 750,342,285,729/398,119.50
  6. Step 6: Final answer
    x = 1,884,716.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.