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Finding the Third Proportional to 615,219.75 and 823,143.38

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Solution

The third proportional to 615,219.75 and 823,143.38 is: 1,101,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,219.75 : 823,143.38 = 823,143.38 : x
  2. Step 2: Convert to fraction form
    615,219.75/823,143.38 = 823,143.38/x
  3. Step 3: Cross multiply
    615,219.75x = 823,143.38 × 823,143.38
  4. Step 4: Simplify right side
    615,219.75x = 677,565,015,806.39
  5. Step 5: Solve for x
    x = 677,565,015,806.39/615,219.75
  6. Step 6: Final answer
    x = 1,101,338.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.