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Finding the Third Proportional to 51,099 and 79,305

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Solution

The third proportional to 51,099 and 79,305 is: 123,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,099 : 79,305 = 79,305 : x
  2. Step 2: Convert to fraction form
    51,099/79,305 = 79,305/x
  3. Step 3: Cross multiply
    51,099x = 79,305 × 79,305
  4. Step 4: Simplify right side
    51,099x = 6,289,283,025
  5. Step 5: Solve for x
    x = 6,289,283,025/51,099
  6. Step 6: Final answer
    x = 123,080.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.