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Finding the Third Proportional to 179,865 and 270,261

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Solution

The third proportional to 179,865 and 270,261 is: 406,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,865 : 270,261 = 270,261 : x
  2. Step 2: Convert to fraction form
    179,865/270,261 = 270,261/x
  3. Step 3: Cross multiply
    179,865x = 270,261 × 270,261
  4. Step 4: Simplify right side
    179,865x = 73,041,008,121
  5. Step 5: Solve for x
    x = 73,041,008,121/179,865
  6. Step 6: Final answer
    x = 406,087.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.