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Finding the Third Proportional to 77,168 and 164,515

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Solution

The third proportional to 77,168 and 164,515 is: 350,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,168 : 164,515 = 164,515 : x
  2. Step 2: Convert to fraction form
    77,168/164,515 = 164,515/x
  3. Step 3: Cross multiply
    77,168x = 164,515 × 164,515
  4. Step 4: Simplify right side
    77,168x = 27,065,185,225
  5. Step 5: Solve for x
    x = 27,065,185,225/77,168
  6. Step 6: Final answer
    x = 350,730.68

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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.