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Finding the Third Proportional to 77,212 and 166,604

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Solution

The third proportional to 77,212 and 166,604 is: 359,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,212 : 166,604 = 166,604 : x
  2. Step 2: Convert to fraction form
    77,212/166,604 = 166,604/x
  3. Step 3: Cross multiply
    77,212x = 166,604 × 166,604
  4. Step 4: Simplify right side
    77,212x = 27,756,892,816
  5. Step 5: Solve for x
    x = 27,756,892,816/77,212
  6. Step 6: Final answer
    x = 359,489.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.