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Finding the Third Proportional to 133,720 and 291,422

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Solution

The third proportional to 133,720 and 291,422 is: 635,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,720 : 291,422 = 291,422 : x
  2. Step 2: Convert to fraction form
    133,720/291,422 = 291,422/x
  3. Step 3: Cross multiply
    133,720x = 291,422 × 291,422
  4. Step 4: Simplify right side
    133,720x = 84,926,782,084
  5. Step 5: Solve for x
    x = 84,926,782,084/133,720
  6. Step 6: Final answer
    x = 635,109.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.