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Finding the Third Proportional to 276,599 and 427,181

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Solution

The third proportional to 276,599 and 427,181 is: 659,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,599 : 427,181 = 427,181 : x
  2. Step 2: Convert to fraction form
    276,599/427,181 = 427,181/x
  3. Step 3: Cross multiply
    276,599x = 427,181 × 427,181
  4. Step 4: Simplify right side
    276,599x = 182,483,606,761
  5. Step 5: Solve for x
    x = 182,483,606,761/276,599
  6. Step 6: Final answer
    x = 659,740.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.