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Finding the Third Proportional to 51,810 and 112,845

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Solution

The third proportional to 51,810 and 112,845 is: 245,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810 : 112,845 = 112,845 : x
  2. Step 2: Convert to fraction form
    51,810/112,845 = 112,845/x
  3. Step 3: Cross multiply
    51,810x = 112,845 × 112,845
  4. Step 4: Simplify right side
    51,810x = 12,733,994,025
  5. Step 5: Solve for x
    x = 12,733,994,025/51,810
  6. Step 6: Final answer
    x = 245,782.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.