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Finding the Third Proportional to 131,705 and 283,383

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Solution

The third proportional to 131,705 and 283,383 is: 609,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,705 : 283,383 = 283,383 : x
  2. Step 2: Convert to fraction form
    131,705/283,383 = 283,383/x
  3. Step 3: Cross multiply
    131,705x = 283,383 × 283,383
  4. Step 4: Simplify right side
    131,705x = 80,305,924,689
  5. Step 5: Solve for x
    x = 80,305,924,689/131,705
  6. Step 6: Final answer
    x = 609,740.90

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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.