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Finding the Third Proportional to 3,218.48 and 4,820.77

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Solution

The third proportional to 3,218.48 and 4,820.77 is: 7,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.48 : 4,820.77 = 4,820.77 : x
  2. Step 2: Convert to fraction form
    3,218.48/4,820.77 = 4,820.77/x
  3. Step 3: Cross multiply
    3,218.48x = 4,820.77 × 4,820.77
  4. Step 4: Simplify right side
    3,218.48x = 23,239,781.21
  5. Step 5: Solve for x
    x = 23,239,781.21/3,218.48
  6. Step 6: Final answer
    x = 7,220.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.