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Finding the Third Proportional to 321,903 and 685,386

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Solution

The third proportional to 321,903 and 685,386 is: 1,459,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,903 : 685,386 = 685,386 : x
  2. Step 2: Convert to fraction form
    321,903/685,386 = 685,386/x
  3. Step 3: Cross multiply
    321,903x = 685,386 × 685,386
  4. Step 4: Simplify right side
    321,903x = 469,753,968,996
  5. Step 5: Solve for x
    x = 469,753,968,996/321,903
  6. Step 6: Final answer
    x = 1,459,302.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.