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Finding the Third Proportional to 276,293 and 427,926

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Solution

The third proportional to 276,293 and 427,926 is: 662,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,293 : 427,926 = 427,926 : x
  2. Step 2: Convert to fraction form
    276,293/427,926 = 427,926/x
  3. Step 3: Cross multiply
    276,293x = 427,926 × 427,926
  4. Step 4: Simplify right side
    276,293x = 183,120,661,476
  5. Step 5: Solve for x
    x = 183,120,661,476/276,293
  6. Step 6: Final answer
    x = 662,777.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.