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Finding the Third Proportional to 156,128 and 343,358

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Solution

The third proportional to 156,128 and 343,358 is: 755,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,128 : 343,358 = 343,358 : x
  2. Step 2: Convert to fraction form
    156,128/343,358 = 343,358/x
  3. Step 3: Cross multiply
    156,128x = 343,358 × 343,358
  4. Step 4: Simplify right side
    156,128x = 117,894,716,164
  5. Step 5: Solve for x
    x = 117,894,716,164/156,128
  6. Step 6: Final answer
    x = 755,115.78

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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.