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Finding the Third Proportional to 413,828 and 661,190

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Solution

The third proportional to 413,828 and 661,190 is: 1,056,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,828 : 661,190 = 661,190 : x
  2. Step 2: Convert to fraction form
    413,828/661,190 = 661,190/x
  3. Step 3: Cross multiply
    413,828x = 661,190 × 661,190
  4. Step 4: Simplify right side
    413,828x = 437,172,216,100
  5. Step 5: Solve for x
    x = 437,172,216,100/413,828
  6. Step 6: Final answer
    x = 1,056,410.43

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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.