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Finding the Third Proportional to 856,680 and 1,203,372

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Solution

The third proportional to 856,680 and 1,203,372 is: 1,690,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,680 : 1,203,372 = 1,203,372 : x
  2. Step 2: Convert to fraction form
    856,680/1,203,372 = 1,203,372/x
  3. Step 3: Cross multiply
    856,680x = 1,203,372 × 1,203,372
  4. Step 4: Simplify right side
    856,680x = 1,448,104,170,384
  5. Step 5: Solve for x
    x = 1,448,104,170,384/856,680
  6. Step 6: Final answer
    x = 1,690,367.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.