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Finding the Third Proportional to 143,275 and 307,694

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Solution

The third proportional to 143,275 and 307,694 is: 660,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,275 : 307,694 = 307,694 : x
  2. Step 2: Convert to fraction form
    143,275/307,694 = 307,694/x
  3. Step 3: Cross multiply
    143,275x = 307,694 × 307,694
  4. Step 4: Simplify right side
    143,275x = 94,675,597,636
  5. Step 5: Solve for x
    x = 94,675,597,636/143,275
  6. Step 6: Final answer
    x = 660,796.35

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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.