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Finding the Third Proportional to 131,670 and 283,322

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Solution

The third proportional to 131,670 and 283,322 is: 609,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,670 : 283,322 = 283,322 : x
  2. Step 2: Convert to fraction form
    131,670/283,322 = 283,322/x
  3. Step 3: Cross multiply
    131,670x = 283,322 × 283,322
  4. Step 4: Simplify right side
    131,670x = 80,271,355,684
  5. Step 5: Solve for x
    x = 80,271,355,684/131,670
  6. Step 6: Final answer
    x = 609,640.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.