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Finding the Third Proportional to 156,742 and 343,520

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Solution

The third proportional to 156,742 and 343,520 is: 752,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 343,520 = 343,520 : x
  2. Step 2: Convert to fraction form
    156,742/343,520 = 343,520/x
  3. Step 3: Cross multiply
    156,742x = 343,520 × 343,520
  4. Step 4: Simplify right side
    156,742x = 118,005,990,400
  5. Step 5: Solve for x
    x = 118,005,990,400/156,742
  6. Step 6: Final answer
    x = 752,867.71

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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.