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Finding the Third Proportional to 51,609 and 79,349

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Solution

The third proportional to 51,609 and 79,349 is: 121,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,609 : 79,349 = 79,349 : x
  2. Step 2: Convert to fraction form
    51,609/79,349 = 79,349/x
  3. Step 3: Cross multiply
    51,609x = 79,349 × 79,349
  4. Step 4: Simplify right side
    51,609x = 6,296,263,801
  5. Step 5: Solve for x
    x = 6,296,263,801/51,609
  6. Step 6: Final answer
    x = 121,999.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.