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Finding the Third Proportional to 51,366 and 110,508

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Solution

The third proportional to 51,366 and 110,508 is: 237,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,366 : 110,508 = 110,508 : x
  2. Step 2: Convert to fraction form
    51,366/110,508 = 110,508/x
  3. Step 3: Cross multiply
    51,366x = 110,508 × 110,508
  4. Step 4: Simplify right side
    51,366x = 12,212,018,064
  5. Step 5: Solve for x
    x = 12,212,018,064/51,366
  6. Step 6: Final answer
    x = 237,745.16

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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.