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Finding the Third Proportional to 149,806 and 321,646

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Solution

The third proportional to 149,806 and 321,646 is: 690,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,806 : 321,646 = 321,646 : x
  2. Step 2: Convert to fraction form
    149,806/321,646 = 321,646/x
  3. Step 3: Cross multiply
    149,806x = 321,646 × 321,646
  4. Step 4: Simplify right side
    149,806x = 103,456,149,316
  5. Step 5: Solve for x
    x = 103,456,149,316/149,806
  6. Step 6: Final answer
    x = 690,600.84

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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.