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Finding the Third Proportional to 51,890 and 79,359

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Solution

The third proportional to 51,890 and 79,359 is: 121,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,890 : 79,359 = 79,359 : x
  2. Step 2: Convert to fraction form
    51,890/79,359 = 79,359/x
  3. Step 3: Cross multiply
    51,890x = 79,359 × 79,359
  4. Step 4: Simplify right side
    51,890x = 6,297,850,881
  5. Step 5: Solve for x
    x = 6,297,850,881/51,890
  6. Step 6: Final answer
    x = 121,369.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.