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Finding the Third Proportional to 156,422 and 224,157

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Solution

The third proportional to 156,422 and 224,157 is: 321,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,422 : 224,157 = 224,157 : x
  2. Step 2: Convert to fraction form
    156,422/224,157 = 224,157/x
  3. Step 3: Cross multiply
    156,422x = 224,157 × 224,157
  4. Step 4: Simplify right side
    156,422x = 50,246,360,649
  5. Step 5: Solve for x
    x = 50,246,360,649/156,422
  6. Step 6: Final answer
    x = 321,223.11

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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.