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Finding the Third Proportional to 321,956 and 703,744

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Solution

The third proportional to 321,956 and 703,744 is: 1,538,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,956 : 703,744 = 703,744 : x
  2. Step 2: Convert to fraction form
    321,956/703,744 = 703,744/x
  3. Step 3: Cross multiply
    321,956x = 703,744 × 703,744
  4. Step 4: Simplify right side
    321,956x = 495,255,617,536
  5. Step 5: Solve for x
    x = 495,255,617,536/321,956
  6. Step 6: Final answer
    x = 1,538,271.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.