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Finding the Third Proportional to 77,679 and 168,318

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Solution

The third proportional to 77,679 and 168,318 is: 364,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679 : 168,318 = 168,318 : x
  2. Step 2: Convert to fraction form
    77,679/168,318 = 168,318/x
  3. Step 3: Cross multiply
    77,679x = 168,318 × 168,318
  4. Step 4: Simplify right side
    77,679x = 28,330,949,124
  5. Step 5: Solve for x
    x = 28,330,949,124/77,679
  6. Step 6: Final answer
    x = 364,718.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.