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Finding the Third Proportional to 51,307 and 78,809

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Solution

The third proportional to 51,307 and 78,809 is: 121,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,307 : 78,809 = 78,809 : x
  2. Step 2: Convert to fraction form
    51,307/78,809 = 78,809/x
  3. Step 3: Cross multiply
    51,307x = 78,809 × 78,809
  4. Step 4: Simplify right side
    51,307x = 6,210,858,481
  5. Step 5: Solve for x
    x = 6,210,858,481/51,307
  6. Step 6: Final answer
    x = 121,052.85

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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.