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Finding the Third Proportional to 66,770 and 146,658

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Solution

The third proportional to 66,770 and 146,658 is: 322,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,770 : 146,658 = 146,658 : x
  2. Step 2: Convert to fraction form
    66,770/146,658 = 146,658/x
  3. Step 3: Cross multiply
    66,770x = 146,658 × 146,658
  4. Step 4: Simplify right side
    66,770x = 21,508,568,964
  5. Step 5: Solve for x
    x = 21,508,568,964/66,770
  6. Step 6: Final answer
    x = 322,129.23

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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.