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Finding the Third Proportional to 139,309 and 203,124

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Solution

The third proportional to 139,309 and 203,124 is: 296,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,309 : 203,124 = 203,124 : x
  2. Step 2: Convert to fraction form
    139,309/203,124 = 203,124/x
  3. Step 3: Cross multiply
    139,309x = 203,124 × 203,124
  4. Step 4: Simplify right side
    139,309x = 41,259,359,376
  5. Step 5: Solve for x
    x = 41,259,359,376/139,309
  6. Step 6: Final answer
    x = 296,171.53

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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.