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Finding the Third Proportional to 77,637 and 166,341

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Solution

The third proportional to 77,637 and 166,341 is: 356,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,637 : 166,341 = 166,341 : x
  2. Step 2: Convert to fraction form
    77,637/166,341 = 166,341/x
  3. Step 3: Cross multiply
    77,637x = 166,341 × 166,341
  4. Step 4: Simplify right side
    77,637x = 27,669,328,281
  5. Step 5: Solve for x
    x = 27,669,328,281/77,637
  6. Step 6: Final answer
    x = 356,393.58

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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.