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Finding the Third Proportional to 129,238 and 193,082

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Solution

The third proportional to 129,238 and 193,082 is: 288,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,238 : 193,082 = 193,082 : x
  2. Step 2: Convert to fraction form
    129,238/193,082 = 193,082/x
  3. Step 3: Cross multiply
    129,238x = 193,082 × 193,082
  4. Step 4: Simplify right side
    129,238x = 37,280,658,724
  5. Step 5: Solve for x
    x = 37,280,658,724/129,238
  6. Step 6: Final answer
    x = 288,465.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.