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Finding the Third Proportional to 386,489 and 534,043

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Solution

The third proportional to 386,489 and 534,043 is: 737,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,489 : 534,043 = 534,043 : x
  2. Step 2: Convert to fraction form
    386,489/534,043 = 534,043/x
  3. Step 3: Cross multiply
    386,489x = 534,043 × 534,043
  4. Step 4: Simplify right side
    386,489x = 285,201,925,849
  5. Step 5: Solve for x
    x = 285,201,925,849/386,489
  6. Step 6: Final answer
    x = 737,930.25

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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.