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Finding the Third Proportional to 386,884 and 547,926

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Solution

The third proportional to 386,884 and 547,926 is: 776,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,884 : 547,926 = 547,926 : x
  2. Step 2: Convert to fraction form
    386,884/547,926 = 547,926/x
  3. Step 3: Cross multiply
    386,884x = 547,926 × 547,926
  4. Step 4: Simplify right side
    386,884x = 300,222,901,476
  5. Step 5: Solve for x
    x = 300,222,901,476/386,884
  6. Step 6: Final answer
    x = 776,002.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.