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Finding the Third Proportional to 76,330 and 154,816

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Solution

The third proportional to 76,330 and 154,816 is: 314,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,330 : 154,816 = 154,816 : x
  2. Step 2: Convert to fraction form
    76,330/154,816 = 154,816/x
  3. Step 3: Cross multiply
    76,330x = 154,816 × 154,816
  4. Step 4: Simplify right side
    76,330x = 23,967,993,856
  5. Step 5: Solve for x
    x = 23,967,993,856/76,330
  6. Step 6: Final answer
    x = 314,004.90

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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.