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Finding the Third Proportional to 51,797 and 79,985

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Solution

The third proportional to 51,797 and 79,985 is: 123,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,797 : 79,985 = 79,985 : x
  2. Step 2: Convert to fraction form
    51,797/79,985 = 79,985/x
  3. Step 3: Cross multiply
    51,797x = 79,985 × 79,985
  4. Step 4: Simplify right side
    51,797x = 6,397,600,225
  5. Step 5: Solve for x
    x = 6,397,600,225/51,797
  6. Step 6: Final answer
    x = 123,512.95

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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.