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Finding the Third Proportional to 386,928 and 547,992

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Solution

The third proportional to 386,928 and 547,992 is: 776,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,928 : 547,992 = 547,992 : x
  2. Step 2: Convert to fraction form
    386,928/547,992 = 547,992/x
  3. Step 3: Cross multiply
    386,928x = 547,992 × 547,992
  4. Step 4: Simplify right side
    386,928x = 300,295,232,064
  5. Step 5: Solve for x
    x = 300,295,232,064/386,928
  6. Step 6: Final answer
    x = 776,101.06

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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.