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Finding the Third Proportional to 4,221.75 and 6,494.63

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Solution

The third proportional to 4,221.75 and 6,494.63 is: 9,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.75 : 6,494.63 = 6,494.63 : x
  2. Step 2: Convert to fraction form
    4,221.75/6,494.63 = 6,494.63/x
  3. Step 3: Cross multiply
    4,221.75x = 6,494.63 × 6,494.63
  4. Step 4: Simplify right side
    4,221.75x = 42,180,153.89
  5. Step 5: Solve for x
    x = 42,180,153.89/4,221.75
  6. Step 6: Final answer
    x = 9,991.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.