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Finding the Third Proportional to 75,500 and 154,280

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Solution

The third proportional to 75,500 and 154,280 is: 315,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,500 : 154,280 = 154,280 : x
  2. Step 2: Convert to fraction form
    75,500/154,280 = 154,280/x
  3. Step 3: Cross multiply
    75,500x = 154,280 × 154,280
  4. Step 4: Simplify right side
    75,500x = 23,802,318,400
  5. Step 5: Solve for x
    x = 23,802,318,400/75,500
  6. Step 6: Final answer
    x = 315,262.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.