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Finding the Third Proportional to 149,331 and 324,905

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Solution

The third proportional to 149,331 and 324,905 is: 706,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,331 : 324,905 = 324,905 : x
  2. Step 2: Convert to fraction form
    149,331/324,905 = 324,905/x
  3. Step 3: Cross multiply
    149,331x = 324,905 × 324,905
  4. Step 4: Simplify right side
    149,331x = 105,563,259,025
  5. Step 5: Solve for x
    x = 105,563,259,025/149,331
  6. Step 6: Final answer
    x = 706,907.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.