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Finding the Third Proportional to 156,933 and 343,007

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Solution

The third proportional to 156,933 and 343,007 is: 749,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,933 : 343,007 = 343,007 : x
  2. Step 2: Convert to fraction form
    156,933/343,007 = 343,007/x
  3. Step 3: Cross multiply
    156,933x = 343,007 × 343,007
  4. Step 4: Simplify right side
    156,933x = 117,653,802,049
  5. Step 5: Solve for x
    x = 117,653,802,049/156,933
  6. Step 6: Final answer
    x = 749,707.21

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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.