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Finding the Third Proportional to 129,322 and 284,132

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Solution

The third proportional to 129,322 and 284,132 is: 624,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,322 : 284,132 = 284,132 : x
  2. Step 2: Convert to fraction form
    129,322/284,132 = 284,132/x
  3. Step 3: Cross multiply
    129,322x = 284,132 × 284,132
  4. Step 4: Simplify right side
    129,322x = 80,730,993,424
  5. Step 5: Solve for x
    x = 80,730,993,424/129,322
  6. Step 6: Final answer
    x = 624,263.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.