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Finding the Third Proportional to 143,326 and 306,739

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Solution

The third proportional to 143,326 and 306,739 is: 656,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,326 : 306,739 = 306,739 : x
  2. Step 2: Convert to fraction form
    143,326/306,739 = 306,739/x
  3. Step 3: Cross multiply
    143,326x = 306,739 × 306,739
  4. Step 4: Simplify right side
    143,326x = 94,088,814,121
  5. Step 5: Solve for x
    x = 94,088,814,121/143,326
  6. Step 6: Final answer
    x = 656,467.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.