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Finding the Third Proportional to 77,087 and 168,145

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Solution

The third proportional to 77,087 and 168,145 is: 366,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,087 : 168,145 = 168,145 : x
  2. Step 2: Convert to fraction form
    77,087/168,145 = 168,145/x
  3. Step 3: Cross multiply
    77,087x = 168,145 × 168,145
  4. Step 4: Simplify right side
    77,087x = 28,272,741,025
  5. Step 5: Solve for x
    x = 28,272,741,025/77,087
  6. Step 6: Final answer
    x = 366,764.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.