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Finding the Third Proportional to 139,099 and 299,794

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Solution

The third proportional to 139,099 and 299,794 is: 646,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,099 : 299,794 = 299,794 : x
  2. Step 2: Convert to fraction form
    139,099/299,794 = 299,794/x
  3. Step 3: Cross multiply
    139,099x = 299,794 × 299,794
  4. Step 4: Simplify right side
    139,099x = 89,876,442,436
  5. Step 5: Solve for x
    x = 89,876,442,436/139,099
  6. Step 6: Final answer
    x = 646,132.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.