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Finding the Third Proportional to 156,043 and 336,191

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Solution

The third proportional to 156,043 and 336,191 is: 724,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,043 : 336,191 = 336,191 : x
  2. Step 2: Convert to fraction form
    156,043/336,191 = 336,191/x
  3. Step 3: Cross multiply
    156,043x = 336,191 × 336,191
  4. Step 4: Simplify right side
    156,043x = 113,024,388,481
  5. Step 5: Solve for x
    x = 113,024,388,481/156,043
  6. Step 6: Final answer
    x = 724,315.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.