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Finding the Third Proportional to 66,906 and 146,928

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Solution

The third proportional to 66,906 and 146,928 is: 322,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906 : 146,928 = 146,928 : x
  2. Step 2: Convert to fraction form
    66,906/146,928 = 146,928/x
  3. Step 3: Cross multiply
    66,906x = 146,928 × 146,928
  4. Step 4: Simplify right side
    66,906x = 21,587,837,184
  5. Step 5: Solve for x
    x = 21,587,837,184/66,906
  6. Step 6: Final answer
    x = 322,659.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.