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Finding the Third Proportional to 139,313 and 203,130

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Solution

The third proportional to 139,313 and 203,130 is: 296,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,313 : 203,130 = 203,130 : x
  2. Step 2: Convert to fraction form
    139,313/203,130 = 203,130/x
  3. Step 3: Cross multiply
    139,313x = 203,130 × 203,130
  4. Step 4: Simplify right side
    139,313x = 41,261,796,900
  5. Step 5: Solve for x
    x = 41,261,796,900/139,313
  6. Step 6: Final answer
    x = 296,180.52

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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.