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Finding the Third Proportional to 313,120 and 485,040

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Solution

The third proportional to 313,120 and 485,040 is: 751,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,120 : 485,040 = 485,040 : x
  2. Step 2: Convert to fraction form
    313,120/485,040 = 485,040/x
  3. Step 3: Cross multiply
    313,120x = 485,040 × 485,040
  4. Step 4: Simplify right side
    313,120x = 235,263,801,600
  5. Step 5: Solve for x
    x = 235,263,801,600/313,120
  6. Step 6: Final answer
    x = 751,353.48

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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.