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Finding the Third Proportional to 154,991 and 328,584

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Solution

The third proportional to 154,991 and 328,584 is: 696,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,991 : 328,584 = 328,584 : x
  2. Step 2: Convert to fraction form
    154,991/328,584 = 328,584/x
  3. Step 3: Cross multiply
    154,991x = 328,584 × 328,584
  4. Step 4: Simplify right side
    154,991x = 107,967,445,056
  5. Step 5: Solve for x
    x = 107,967,445,056/154,991
  6. Step 6: Final answer
    x = 696,604.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.