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Finding the Third Proportional to 149,823 and 321,880.25

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Solution

The third proportional to 149,823 and 321,880.25 is: 691,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,823 : 321,880.25 = 321,880.25 : x
  2. Step 2: Convert to fraction form
    149,823/321,880.25 = 321,880.25/x
  3. Step 3: Cross multiply
    149,823x = 321,880.25 × 321,880.25
  4. Step 4: Simplify right side
    149,823x = 103,606,895,340.06
  5. Step 5: Solve for x
    x = 103,606,895,340.06/149,823
  6. Step 6: Final answer
    x = 691,528.64

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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.