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Finding the Third Proportional to 156,420 and 224,154

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Solution

The third proportional to 156,420 and 224,154 is: 321,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,420 : 224,154 = 224,154 : x
  2. Step 2: Convert to fraction form
    156,420/224,154 = 224,154/x
  3. Step 3: Cross multiply
    156,420x = 224,154 × 224,154
  4. Step 4: Simplify right side
    156,420x = 50,245,015,716
  5. Step 5: Solve for x
    x = 50,245,015,716/156,420
  6. Step 6: Final answer
    x = 321,218.61

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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.