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Finding the Third Proportional to 154,512 and 325,629

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Solution

The third proportional to 154,512 and 325,629 is: 686,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,512 : 325,629 = 325,629 : x
  2. Step 2: Convert to fraction form
    154,512/325,629 = 325,629/x
  3. Step 3: Cross multiply
    154,512x = 325,629 × 325,629
  4. Step 4: Simplify right side
    154,512x = 106,034,245,641
  5. Step 5: Solve for x
    x = 106,034,245,641/154,512
  6. Step 6: Final answer
    x = 686,252.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.