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Finding the Third Proportional to 154,516 and 325,638

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Solution

The third proportional to 154,516 and 325,638 is: 686,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,516 : 325,638 = 325,638 : x
  2. Step 2: Convert to fraction form
    154,516/325,638 = 325,638/x
  3. Step 3: Cross multiply
    154,516x = 325,638 × 325,638
  4. Step 4: Simplify right side
    154,516x = 106,040,107,044
  5. Step 5: Solve for x
    x = 106,040,107,044/154,516
  6. Step 6: Final answer
    x = 686,272.66

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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.