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Finding the Third Proportional to 139,306.50 and 203,121

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Solution

The third proportional to 139,306.50 and 203,121 is: 296,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,306.50 : 203,121 = 203,121 : x
  2. Step 2: Convert to fraction form
    139,306.50/203,121 = 203,121/x
  3. Step 3: Cross multiply
    139,306.50x = 203,121 × 203,121
  4. Step 4: Simplify right side
    139,306.50x = 41,258,140,641
  5. Step 5: Solve for x
    x = 41,258,140,641/139,306.50
  6. Step 6: Final answer
    x = 296,168.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.