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Finding the Third Proportional to 156,686 and 341,743

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Solution

The third proportional to 156,686 and 341,743 is: 745,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,686 : 341,743 = 341,743 : x
  2. Step 2: Convert to fraction form
    156,686/341,743 = 341,743/x
  3. Step 3: Cross multiply
    156,686x = 341,743 × 341,743
  4. Step 4: Simplify right side
    156,686x = 116,788,278,049
  5. Step 5: Solve for x
    x = 116,788,278,049/156,686
  6. Step 6: Final answer
    x = 745,365.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.