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Finding the Third Proportional to 149,729 and 324,639

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Solution

The third proportional to 149,729 and 324,639 is: 703,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,729 : 324,639 = 324,639 : x
  2. Step 2: Convert to fraction form
    149,729/324,639 = 324,639/x
  3. Step 3: Cross multiply
    149,729x = 324,639 × 324,639
  4. Step 4: Simplify right side
    149,729x = 105,390,480,321
  5. Step 5: Solve for x
    x = 105,390,480,321/149,729
  6. Step 6: Final answer
    x = 703,874.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.