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Finding the Third Proportional to 77,646 and 166,502

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Solution

The third proportional to 77,646 and 166,502 is: 357,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,646 : 166,502 = 166,502 : x
  2. Step 2: Convert to fraction form
    77,646/166,502 = 166,502/x
  3. Step 3: Cross multiply
    77,646x = 166,502 × 166,502
  4. Step 4: Simplify right side
    77,646x = 27,722,916,004
  5. Step 5: Solve for x
    x = 27,722,916,004/77,646
  6. Step 6: Final answer
    x = 357,042.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.