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Finding the Third Proportional to 2,689.61 and 4,090.66

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Solution

The third proportional to 2,689.61 and 4,090.66 is: 6,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.61 : 4,090.66 = 4,090.66 : x
  2. Step 2: Convert to fraction form
    2,689.61/4,090.66 = 4,090.66/x
  3. Step 3: Cross multiply
    2,689.61x = 4,090.66 × 4,090.66
  4. Step 4: Simplify right side
    2,689.61x = 16,733,484.53
  5. Step 5: Solve for x
    x = 16,733,484.53/2,689.61
  6. Step 6: Final answer
    x = 6,221.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.