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Finding the Third Proportional to 66,830 and 146,794

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Solution

The third proportional to 66,830 and 146,794 is: 322,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,830 : 146,794 = 146,794 : x
  2. Step 2: Convert to fraction form
    66,830/146,794 = 146,794/x
  3. Step 3: Cross multiply
    66,830x = 146,794 × 146,794
  4. Step 4: Simplify right side
    66,830x = 21,548,478,436
  5. Step 5: Solve for x
    x = 21,548,478,436/66,830
  6. Step 6: Final answer
    x = 322,437.21

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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.