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Finding the Third Proportional to 8,278.88 and 10,742.63

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Solution

The third proportional to 8,278.88 and 10,742.63 is: 13,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.88 : 10,742.63 = 10,742.63 : x
  2. Step 2: Convert to fraction form
    8,278.88/10,742.63 = 10,742.63/x
  3. Step 3: Cross multiply
    8,278.88x = 10,742.63 × 10,742.63
  4. Step 4: Simplify right side
    8,278.88x = 115,403,991.89
  5. Step 5: Solve for x
    x = 115,403,991.89/8,278.88
  6. Step 6: Final answer
    x = 13,939.57

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.