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Finding the Third Proportional to 307,299 and 480,997.88

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Solution

The third proportional to 307,299 and 480,997.88 is: 752,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,299 : 480,997.88 = 480,997.88 : x
  2. Step 2: Convert to fraction form
    307,299/480,997.88 = 480,997.88/x
  3. Step 3: Cross multiply
    307,299x = 480,997.88 × 480,997.88
  4. Step 4: Simplify right side
    307,299x = 231,358,955,754.52
  5. Step 5: Solve for x
    x = 231,358,955,754.52/307,299
  6. Step 6: Final answer
    x = 752,878.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.