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Finding the Third Proportional to 321,328 and 705,699

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Solution

The third proportional to 321,328 and 705,699 is: 1,549,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,328 : 705,699 = 705,699 : x
  2. Step 2: Convert to fraction form
    321,328/705,699 = 705,699/x
  3. Step 3: Cross multiply
    321,328x = 705,699 × 705,699
  4. Step 4: Simplify right side
    321,328x = 498,011,078,601
  5. Step 5: Solve for x
    x = 498,011,078,601/321,328
  6. Step 6: Final answer
    x = 1,549,852.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.