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Finding the Third Proportional to 61,400 and 133,744

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Solution

The third proportional to 61,400 and 133,744 is: 291,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,400 : 133,744 = 133,744 : x
  2. Step 2: Convert to fraction form
    61,400/133,744 = 133,744/x
  3. Step 3: Cross multiply
    61,400x = 133,744 × 133,744
  4. Step 4: Simplify right side
    61,400x = 17,887,457,536
  5. Step 5: Solve for x
    x = 17,887,457,536/61,400
  6. Step 6: Final answer
    x = 291,326.67

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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.