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Finding the Third Proportional to 132,990 and 285,738

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Solution

The third proportional to 132,990 and 285,738 is: 613,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,990 : 285,738 = 285,738 : x
  2. Step 2: Convert to fraction form
    132,990/285,738 = 285,738/x
  3. Step 3: Cross multiply
    132,990x = 285,738 × 285,738
  4. Step 4: Simplify right side
    132,990x = 81,646,204,644
  5. Step 5: Solve for x
    x = 81,646,204,644/132,990
  6. Step 6: Final answer
    x = 613,927.40

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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.