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Finding the Third Proportional to 149,386 and 321,812

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Solution

The third proportional to 149,386 and 321,812 is: 693,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,386 : 321,812 = 321,812 : x
  2. Step 2: Convert to fraction form
    149,386/321,812 = 321,812/x
  3. Step 3: Cross multiply
    149,386x = 321,812 × 321,812
  4. Step 4: Simplify right side
    149,386x = 103,562,963,344
  5. Step 5: Solve for x
    x = 103,562,963,344/149,386
  6. Step 6: Final answer
    x = 693,257.49

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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.