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Finding the Third Proportional to 276,600 and 427,182

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Solution

The third proportional to 276,600 and 427,182 is: 659,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,600 : 427,182 = 427,182 : x
  2. Step 2: Convert to fraction form
    276,600/427,182 = 427,182/x
  3. Step 3: Cross multiply
    276,600x = 427,182 × 427,182
  4. Step 4: Simplify right side
    276,600x = 182,484,461,124
  5. Step 5: Solve for x
    x = 182,484,461,124/276,600
  6. Step 6: Final answer
    x = 659,741.36

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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.