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Finding the Third Proportional to 321,174 and 691,677

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Solution

The third proportional to 321,174 and 691,677 is: 1,489,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,174 : 691,677 = 691,677 : x
  2. Step 2: Convert to fraction form
    321,174/691,677 = 691,677/x
  3. Step 3: Cross multiply
    321,174x = 691,677 × 691,677
  4. Step 4: Simplify right side
    321,174x = 478,417,072,329
  5. Step 5: Solve for x
    x = 478,417,072,329/321,174
  6. Step 6: Final answer
    x = 1,489,588.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.