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Finding the Third Proportional to 156,921 and 343,184

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Solution

The third proportional to 156,921 and 343,184 is: 750,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,921 : 343,184 = 343,184 : x
  2. Step 2: Convert to fraction form
    156,921/343,184 = 343,184/x
  3. Step 3: Cross multiply
    156,921x = 343,184 × 343,184
  4. Step 4: Simplify right side
    156,921x = 117,775,257,856
  5. Step 5: Solve for x
    x = 117,775,257,856/156,921
  6. Step 6: Final answer
    x = 750,538.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.