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Finding the Third Proportional to 76,291 and 154,657

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Solution

The third proportional to 76,291 and 154,657 is: 313,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,291 : 154,657 = 154,657 : x
  2. Step 2: Convert to fraction form
    76,291/154,657 = 154,657/x
  3. Step 3: Cross multiply
    76,291x = 154,657 × 154,657
  4. Step 4: Simplify right side
    76,291x = 23,918,787,649
  5. Step 5: Solve for x
    x = 23,918,787,649/76,291
  6. Step 6: Final answer
    x = 313,520.44

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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.