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Finding the Third Proportional to 70,119 and 154,261

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Solution

The third proportional to 70,119 and 154,261 is: 339,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,119 : 154,261 = 154,261 : x
  2. Step 2: Convert to fraction form
    70,119/154,261 = 154,261/x
  3. Step 3: Cross multiply
    70,119x = 154,261 × 154,261
  4. Step 4: Simplify right side
    70,119x = 23,796,456,121
  5. Step 5: Solve for x
    x = 23,796,456,121/70,119
  6. Step 6: Final answer
    x = 339,372.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.