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Finding the Third Proportional to 276,588 and 427,169

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Solution

The third proportional to 276,588 and 427,169 is: 659,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,588 : 427,169 = 427,169 : x
  2. Step 2: Convert to fraction form
    276,588/427,169 = 427,169/x
  3. Step 3: Cross multiply
    276,588x = 427,169 × 427,169
  4. Step 4: Simplify right side
    276,588x = 182,473,354,561
  5. Step 5: Solve for x
    x = 182,473,354,561/276,588
  6. Step 6: Final answer
    x = 659,729.83

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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.