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Finding the Third Proportional to 129,432 and 203,082

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Solution

The third proportional to 129,432 and 203,082 is: 318,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,432 : 203,082 = 203,082 : x
  2. Step 2: Convert to fraction form
    129,432/203,082 = 203,082/x
  3. Step 3: Cross multiply
    129,432x = 203,082 × 203,082
  4. Step 4: Simplify right side
    129,432x = 41,242,298,724
  5. Step 5: Solve for x
    x = 41,242,298,724/129,432
  6. Step 6: Final answer
    x = 318,640.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.