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Finding the Third Proportional to 413,830 and 661,193

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Solution

The third proportional to 413,830 and 661,193 is: 1,056,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,830 : 661,193 = 661,193 : x
  2. Step 2: Convert to fraction form
    413,830/661,193 = 661,193/x
  3. Step 3: Cross multiply
    413,830x = 661,193 × 661,193
  4. Step 4: Simplify right side
    413,830x = 437,176,183,249
  5. Step 5: Solve for x
    x = 437,176,183,249/413,830
  6. Step 6: Final answer
    x = 1,056,414.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.