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Finding the Third Proportional to 290,931 and 447,027

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Solution

The third proportional to 290,931 and 447,027 is: 686,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,931 : 447,027 = 447,027 : x
  2. Step 2: Convert to fraction form
    290,931/447,027 = 447,027/x
  3. Step 3: Cross multiply
    290,931x = 447,027 × 447,027
  4. Step 4: Simplify right side
    290,931x = 199,833,138,729
  5. Step 5: Solve for x
    x = 199,833,138,729/290,931
  6. Step 6: Final answer
    x = 686,874.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.