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Finding the Third Proportional to 76,658 and 164,974

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Solution

The third proportional to 76,658 and 164,974 is: 355,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,658 : 164,974 = 164,974 : x
  2. Step 2: Convert to fraction form
    76,658/164,974 = 164,974/x
  3. Step 3: Cross multiply
    76,658x = 164,974 × 164,974
  4. Step 4: Simplify right side
    76,658x = 27,216,420,676
  5. Step 5: Solve for x
    x = 27,216,420,676/76,658
  6. Step 6: Final answer
    x = 355,036.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.