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Finding the Third Proportional to 98,751 and 212,487

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Solution

The third proportional to 98,751 and 212,487 is: 457,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,751 : 212,487 = 212,487 : x
  2. Step 2: Convert to fraction form
    98,751/212,487 = 212,487/x
  3. Step 3: Cross multiply
    98,751x = 212,487 × 212,487
  4. Step 4: Simplify right side
    98,751x = 45,150,725,169
  5. Step 5: Solve for x
    x = 45,150,725,169/98,751
  6. Step 6: Final answer
    x = 457,217.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.