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Finding the Third Proportional to 156,448 and 224,194

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Solution

The third proportional to 156,448 and 224,194 is: 321,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,448 : 224,194 = 224,194 : x
  2. Step 2: Convert to fraction form
    156,448/224,194 = 224,194/x
  3. Step 3: Cross multiply
    156,448x = 224,194 × 224,194
  4. Step 4: Simplify right side
    156,448x = 50,262,949,636
  5. Step 5: Solve for x
    x = 50,262,949,636/156,448
  6. Step 6: Final answer
    x = 321,275.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.