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Finding the Third Proportional to 133,086 and 291,934

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Solution

The third proportional to 133,086 and 291,934 is: 640,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086 : 291,934 = 291,934 : x
  2. Step 2: Convert to fraction form
    133,086/291,934 = 291,934/x
  3. Step 3: Cross multiply
    133,086x = 291,934 × 291,934
  4. Step 4: Simplify right side
    133,086x = 85,225,460,356
  5. Step 5: Solve for x
    x = 85,225,460,356/133,086
  6. Step 6: Final answer
    x = 640,378.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.