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Finding the Third Proportional to 129,994.88 and 285,474.38

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Solution

The third proportional to 129,994.88 and 285,474.38 is: 626,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,994.88 : 285,474.38 = 285,474.38 : x
  2. Step 2: Convert to fraction form
    129,994.88/285,474.38 = 285,474.38/x
  3. Step 3: Cross multiply
    129,994.88x = 285,474.38 × 285,474.38
  4. Step 4: Simplify right side
    129,994.88x = 81,495,618,781.64
  5. Step 5: Solve for x
    x = 81,495,618,781.64/129,994.88
  6. Step 6: Final answer
    x = 626,914.09

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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.