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Finding the Third Proportional to 76,340 and 154,836

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Solution

The third proportional to 76,340 and 154,836 is: 314,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,340 : 154,836 = 154,836 : x
  2. Step 2: Convert to fraction form
    76,340/154,836 = 154,836/x
  3. Step 3: Cross multiply
    76,340x = 154,836 × 154,836
  4. Step 4: Simplify right side
    76,340x = 23,974,186,896
  5. Step 5: Solve for x
    x = 23,974,186,896/76,340
  6. Step 6: Final answer
    x = 314,044.89

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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.