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Finding the Third Proportional to 133,980 and 291,256

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Solution

The third proportional to 133,980 and 291,256 is: 633,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,980 : 291,256 = 291,256 : x
  2. Step 2: Convert to fraction form
    133,980/291,256 = 291,256/x
  3. Step 3: Cross multiply
    133,980x = 291,256 × 291,256
  4. Step 4: Simplify right side
    133,980x = 84,830,057,536
  5. Step 5: Solve for x
    x = 84,830,057,536/133,980
  6. Step 6: Final answer
    x = 633,154.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.