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Finding the Third Proportional to 66,762 and 146,241

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Solution

The third proportional to 66,762 and 146,241 is: 320,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,762 : 146,241 = 146,241 : x
  2. Step 2: Convert to fraction form
    66,762/146,241 = 146,241/x
  3. Step 3: Cross multiply
    66,762x = 146,241 × 146,241
  4. Step 4: Simplify right side
    66,762x = 21,386,430,081
  5. Step 5: Solve for x
    x = 21,386,430,081/66,762
  6. Step 6: Final answer
    x = 320,338.37

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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.