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Finding the Third Proportional to 156,058 and 338,686

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Solution

The third proportional to 156,058 and 338,686 is: 735,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,058 : 338,686 = 338,686 : x
  2. Step 2: Convert to fraction form
    156,058/338,686 = 338,686/x
  3. Step 3: Cross multiply
    156,058x = 338,686 × 338,686
  4. Step 4: Simplify right side
    156,058x = 114,708,206,596
  5. Step 5: Solve for x
    x = 114,708,206,596/156,058
  6. Step 6: Final answer
    x = 735,035.73

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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.