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Finding the Third Proportional to 51,402 and 75,151

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Solution

The third proportional to 51,402 and 75,151 is: 109,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402 : 75,151 = 75,151 : x
  2. Step 2: Convert to fraction form
    51,402/75,151 = 75,151/x
  3. Step 3: Cross multiply
    51,402x = 75,151 × 75,151
  4. Step 4: Simplify right side
    51,402x = 5,647,672,801
  5. Step 5: Solve for x
    x = 5,647,672,801/51,402
  6. Step 6: Final answer
    x = 109,872.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.