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Finding the Third Proportional to 313,128 and 485,052

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Solution

The third proportional to 313,128 and 485,052 is: 751,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,128 : 485,052 = 485,052 : x
  2. Step 2: Convert to fraction form
    313,128/485,052 = 485,052/x
  3. Step 3: Cross multiply
    313,128x = 485,052 × 485,052
  4. Step 4: Simplify right side
    313,128x = 235,275,442,704
  5. Step 5: Solve for x
    x = 235,275,442,704/313,128
  6. Step 6: Final answer
    x = 751,371.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.