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Finding the Third Proportional to 77,166 and 164,511

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Solution

The third proportional to 77,166 and 164,511 is: 350,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,166 : 164,511 = 164,511 : x
  2. Step 2: Convert to fraction form
    77,166/164,511 = 164,511/x
  3. Step 3: Cross multiply
    77,166x = 164,511 × 164,511
  4. Step 4: Simplify right side
    77,166x = 27,063,869,121
  5. Step 5: Solve for x
    x = 27,063,869,121/77,166
  6. Step 6: Final answer
    x = 350,722.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.