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Finding the Third Proportional to 134,138 and 284,269

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Solution

The third proportional to 134,138 and 284,269 is: 602,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,138 : 284,269 = 284,269 : x
  2. Step 2: Convert to fraction form
    134,138/284,269 = 284,269/x
  3. Step 3: Cross multiply
    134,138x = 284,269 × 284,269
  4. Step 4: Simplify right side
    134,138x = 80,808,864,361
  5. Step 5: Solve for x
    x = 80,808,864,361/134,138
  6. Step 6: Final answer
    x = 602,430.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.