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Finding the Third Proportional to 321,734 and 706,486

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Solution

The third proportional to 321,734 and 706,486 is: 1,551,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,734 : 706,486 = 706,486 : x
  2. Step 2: Convert to fraction form
    321,734/706,486 = 706,486/x
  3. Step 3: Cross multiply
    321,734x = 706,486 × 706,486
  4. Step 4: Simplify right side
    321,734x = 499,122,468,196
  5. Step 5: Solve for x
    x = 499,122,468,196/321,734
  6. Step 6: Final answer
    x = 1,551,351.33

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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.