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Finding the Third Proportional to 307,175 and 480,828

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Solution

The third proportional to 307,175 and 480,828 is: 752,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,175 : 480,828 = 480,828 : x
  2. Step 2: Convert to fraction form
    307,175/480,828 = 480,828/x
  3. Step 3: Cross multiply
    307,175x = 480,828 × 480,828
  4. Step 4: Simplify right side
    307,175x = 231,195,565,584
  5. Step 5: Solve for x
    x = 231,195,565,584/307,175
  6. Step 6: Final answer
    x = 752,650.98

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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.