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Finding the Third Proportional to 156,144 and 347,226

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Solution

The third proportional to 156,144 and 347,226 is: 772,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,144 : 347,226 = 347,226 : x
  2. Step 2: Convert to fraction form
    156,144/347,226 = 347,226/x
  3. Step 3: Cross multiply
    156,144x = 347,226 × 347,226
  4. Step 4: Simplify right side
    156,144x = 120,565,895,076
  5. Step 5: Solve for x
    x = 120,565,895,076/156,144
  6. Step 6: Final answer
    x = 772,145.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.