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Finding the Third Proportional to 156,396 and 343,896

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Solution

The third proportional to 156,396 and 343,896 is: 756,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,396 : 343,896 = 343,896 : x
  2. Step 2: Convert to fraction form
    156,396/343,896 = 343,896/x
  3. Step 3: Cross multiply
    156,396x = 343,896 × 343,896
  4. Step 4: Simplify right side
    156,396x = 118,264,458,816
  5. Step 5: Solve for x
    x = 118,264,458,816/156,396
  6. Step 6: Final answer
    x = 756,185.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.