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Finding the Third Proportional to 156,149 and 347,236

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Solution

The third proportional to 156,149 and 347,236 is: 772,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,149 : 347,236 = 347,236 : x
  2. Step 2: Convert to fraction form
    156,149/347,236 = 347,236/x
  3. Step 3: Cross multiply
    156,149x = 347,236 × 347,236
  4. Step 4: Simplify right side
    156,149x = 120,572,839,696
  5. Step 5: Solve for x
    x = 120,572,839,696/156,149
  6. Step 6: Final answer
    x = 772,165.30

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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.