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Finding the Third Proportional to 156,986 and 340,042

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Solution

The third proportional to 156,986 and 340,042 is: 736,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986 : 340,042 = 340,042 : x
  2. Step 2: Convert to fraction form
    156,986/340,042 = 340,042/x
  3. Step 3: Cross multiply
    156,986x = 340,042 × 340,042
  4. Step 4: Simplify right side
    156,986x = 115,628,561,764
  5. Step 5: Solve for x
    x = 115,628,561,764/156,986
  6. Step 6: Final answer
    x = 736,553.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.