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Finding the Third Proportional to 149,796 and 321,624

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Solution

The third proportional to 149,796 and 321,624 is: 690,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,796 : 321,624 = 321,624 : x
  2. Step 2: Convert to fraction form
    149,796/321,624 = 321,624/x
  3. Step 3: Cross multiply
    149,796x = 321,624 × 321,624
  4. Step 4: Simplify right side
    149,796x = 103,441,997,376
  5. Step 5: Solve for x
    x = 103,441,997,376/149,796
  6. Step 6: Final answer
    x = 690,552.47

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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.