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Finding the Third Proportional to 2,690.86 and 4,242.66

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Solution

The third proportional to 2,690.86 and 4,242.66 is: 6,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.86 : 4,242.66 = 4,242.66 : x
  2. Step 2: Convert to fraction form
    2,690.86/4,242.66 = 4,242.66/x
  3. Step 3: Cross multiply
    2,690.86x = 4,242.66 × 4,242.66
  4. Step 4: Simplify right side
    2,690.86x = 18,000,132.06
  5. Step 5: Solve for x
    x = 18,000,132.06/2,690.86
  6. Step 6: Final answer
    x = 6,689.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.