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Finding the Third Proportional to 103,684 and 138,950

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Solution

The third proportional to 103,684 and 138,950 is: 186,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 138,950 = 138,950 : x
  2. Step 2: Convert to fraction form
    103,684/138,950 = 138,950/x
  3. Step 3: Cross multiply
    103,684x = 138,950 × 138,950
  4. Step 4: Simplify right side
    103,684x = 19,307,102,500
  5. Step 5: Solve for x
    x = 19,307,102,500/103,684
  6. Step 6: Final answer
    x = 186,211.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.