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Finding the Third Proportional to 331,208 and 714,880

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Solution

The third proportional to 331,208 and 714,880 is: 1,542,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,208 : 714,880 = 714,880 : x
  2. Step 2: Convert to fraction form
    331,208/714,880 = 714,880/x
  3. Step 3: Cross multiply
    331,208x = 714,880 × 714,880
  4. Step 4: Simplify right side
    331,208x = 511,053,414,400
  5. Step 5: Solve for x
    x = 511,053,414,400/331,208
  6. Step 6: Final answer
    x = 1,542,998.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.