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Finding the Third Proportional to 133,081 and 291,924

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Solution

The third proportional to 133,081 and 291,924 is: 640,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,081 : 291,924 = 291,924 : x
  2. Step 2: Convert to fraction form
    133,081/291,924 = 291,924/x
  3. Step 3: Cross multiply
    133,081x = 291,924 × 291,924
  4. Step 4: Simplify right side
    133,081x = 85,219,621,776
  5. Step 5: Solve for x
    x = 85,219,621,776/133,081
  6. Step 6: Final answer
    x = 640,359.04

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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.