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Finding the Third Proportional to 68,018 and 158,120

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Solution

The third proportional to 68,018 and 158,120 is: 367,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,018 : 158,120 = 158,120 : x
  2. Step 2: Convert to fraction form
    68,018/158,120 = 158,120/x
  3. Step 3: Cross multiply
    68,018x = 158,120 × 158,120
  4. Step 4: Simplify right side
    68,018x = 25,001,934,400
  5. Step 5: Solve for x
    x = 25,001,934,400/68,018
  6. Step 6: Final answer
    x = 367,578.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.