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Finding the Third Proportional to 51,987 and 113,846

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Solution

The third proportional to 51,987 and 113,846 is: 249,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987 : 113,846 = 113,846 : x
  2. Step 2: Convert to fraction form
    51,987/113,846 = 113,846/x
  3. Step 3: Cross multiply
    51,987x = 113,846 × 113,846
  4. Step 4: Simplify right side
    51,987x = 12,960,911,716
  5. Step 5: Solve for x
    x = 12,960,911,716/51,987
  6. Step 6: Final answer
    x = 249,310.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.