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Finding the Third Proportional to 156,624 and 343,865

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Solution

The third proportional to 156,624 and 343,865 is: 754,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,624 : 343,865 = 343,865 : x
  2. Step 2: Convert to fraction form
    156,624/343,865 = 343,865/x
  3. Step 3: Cross multiply
    156,624x = 343,865 × 343,865
  4. Step 4: Simplify right side
    156,624x = 118,243,138,225
  5. Step 5: Solve for x
    x = 118,243,138,225/156,624
  6. Step 6: Final answer
    x = 754,949.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.