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Finding the Third Proportional to 4,090.22 and 6,487.31

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Solution

The third proportional to 4,090.22 and 6,487.31 is: 10,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.22 : 6,487.31 = 6,487.31 : x
  2. Step 2: Convert to fraction form
    4,090.22/6,487.31 = 6,487.31/x
  3. Step 3: Cross multiply
    4,090.22x = 6,487.31 × 6,487.31
  4. Step 4: Simplify right side
    4,090.22x = 42,085,223.47
  5. Step 5: Solve for x
    x = 42,085,223.47/4,090.22
  6. Step 6: Final answer
    x = 10,289.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.