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Finding the Third Proportional to 38,122 and 51,207

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Solution

The third proportional to 38,122 and 51,207 is: 68,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,122 : 51,207 = 51,207 : x
  2. Step 2: Convert to fraction form
    38,122/51,207 = 51,207/x
  3. Step 3: Cross multiply
    38,122x = 51,207 × 51,207
  4. Step 4: Simplify right side
    38,122x = 2,622,156,849
  5. Step 5: Solve for x
    x = 2,622,156,849/38,122
  6. Step 6: Final answer
    x = 68,783.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.