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Finding the Third Proportional to 76,360 and 154,868

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Solution

The third proportional to 76,360 and 154,868 is: 314,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360 : 154,868 = 154,868 : x
  2. Step 2: Convert to fraction form
    76,360/154,868 = 154,868/x
  3. Step 3: Cross multiply
    76,360x = 154,868 × 154,868
  4. Step 4: Simplify right side
    76,360x = 23,984,097,424
  5. Step 5: Solve for x
    x = 23,984,097,424/76,360
  6. Step 6: Final answer
    x = 314,092.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.