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Finding the Third Proportional to 18,868 and 51,310

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Solution

The third proportional to 18,868 and 51,310 is: 139,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,868 : 51,310 = 51,310 : x
  2. Step 2: Convert to fraction form
    18,868/51,310 = 51,310/x
  3. Step 3: Cross multiply
    18,868x = 51,310 × 51,310
  4. Step 4: Simplify right side
    18,868x = 2,632,716,100
  5. Step 5: Solve for x
    x = 2,632,716,100/18,868
  6. Step 6: Final answer
    x = 139,533.40

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.