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Finding the Third Proportional to 156,797 and 343,617

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Solution

The third proportional to 156,797 and 343,617 is: 753,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,797 : 343,617 = 343,617 : x
  2. Step 2: Convert to fraction form
    156,797/343,617 = 343,617/x
  3. Step 3: Cross multiply
    156,797x = 343,617 × 343,617
  4. Step 4: Simplify right side
    156,797x = 118,072,642,689
  5. Step 5: Solve for x
    x = 118,072,642,689/156,797
  6. Step 6: Final answer
    x = 753,028.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.