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Finding the Third Proportional to 386,485 and 534,037

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Solution

The third proportional to 386,485 and 534,037 is: 737,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,485 : 534,037 = 534,037 : x
  2. Step 2: Convert to fraction form
    386,485/534,037 = 534,037/x
  3. Step 3: Cross multiply
    386,485x = 534,037 × 534,037
  4. Step 4: Simplify right side
    386,485x = 285,195,517,369
  5. Step 5: Solve for x
    x = 285,195,517,369/386,485
  6. Step 6: Final answer
    x = 737,921.31

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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.