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Finding the Third Proportional to 98,138 and 212,872

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Solution

The third proportional to 98,138 and 212,872 is: 461,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,138 : 212,872 = 212,872 : x
  2. Step 2: Convert to fraction form
    98,138/212,872 = 212,872/x
  3. Step 3: Cross multiply
    98,138x = 212,872 × 212,872
  4. Step 4: Simplify right side
    98,138x = 45,314,488,384
  5. Step 5: Solve for x
    x = 45,314,488,384/98,138
  6. Step 6: Final answer
    x = 461,742.53

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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.