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Finding the Third Proportional to 156,194 and 323,458

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Solution

The third proportional to 156,194 and 323,458 is: 669,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,194 : 323,458 = 323,458 : x
  2. Step 2: Convert to fraction form
    156,194/323,458 = 323,458/x
  3. Step 3: Cross multiply
    156,194x = 323,458 × 323,458
  4. Step 4: Simplify right side
    156,194x = 104,625,077,764
  5. Step 5: Solve for x
    x = 104,625,077,764/156,194
  6. Step 6: Final answer
    x = 669,840.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.