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Finding the Third Proportional to 139,311 and 203,127

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Solution

The third proportional to 139,311 and 203,127 is: 296,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,311 : 203,127 = 203,127 : x
  2. Step 2: Convert to fraction form
    139,311/203,127 = 203,127/x
  3. Step 3: Cross multiply
    139,311x = 203,127 × 203,127
  4. Step 4: Simplify right side
    139,311x = 41,260,578,129
  5. Step 5: Solve for x
    x = 41,260,578,129/139,311
  6. Step 6: Final answer
    x = 296,176.02

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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.