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Finding the Third Proportional to 386,484 and 534,036

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Solution

The third proportional to 386,484 and 534,036 is: 737,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,484 : 534,036 = 534,036 : x
  2. Step 2: Convert to fraction form
    386,484/534,036 = 534,036/x
  3. Step 3: Cross multiply
    386,484x = 534,036 × 534,036
  4. Step 4: Simplify right side
    386,484x = 285,194,449,296
  5. Step 5: Solve for x
    x = 285,194,449,296/386,484
  6. Step 6: Final answer
    x = 737,920.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.