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Finding the Third Proportional to 139,276 and 203,082

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Solution

The third proportional to 139,276 and 203,082 is: 296,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,276 : 203,082 = 203,082 : x
  2. Step 2: Convert to fraction form
    139,276/203,082 = 203,082/x
  3. Step 3: Cross multiply
    139,276x = 203,082 × 203,082
  4. Step 4: Simplify right side
    139,276x = 41,242,298,724
  5. Step 5: Solve for x
    x = 41,242,298,724/139,276
  6. Step 6: Final answer
    x = 296,119.21

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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.