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Finding the Third Proportional to 4,102.05 and 6,289.76

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Solution

The third proportional to 4,102.05 and 6,289.76 is: 9,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.05 : 6,289.76 = 6,289.76 : x
  2. Step 2: Convert to fraction form
    4,102.05/6,289.76 = 6,289.76/x
  3. Step 3: Cross multiply
    4,102.05x = 6,289.76 × 6,289.76
  4. Step 4: Simplify right side
    4,102.05x = 39,561,090.19
  5. Step 5: Solve for x
    x = 39,561,090.19/4,102.05
  6. Step 6: Final answer
    x = 9,644.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.