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Finding the Third Proportional to 154,578 and 325,758

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Solution

The third proportional to 154,578 and 325,758 is: 686,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,578 : 325,758 = 325,758 : x
  2. Step 2: Convert to fraction form
    154,578/325,758 = 325,758/x
  3. Step 3: Cross multiply
    154,578x = 325,758 × 325,758
  4. Step 4: Simplify right side
    154,578x = 106,118,274,564
  5. Step 5: Solve for x
    x = 106,118,274,564/154,578
  6. Step 6: Final answer
    x = 686,503.09

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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.