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Finding the Third Proportional to 6,811.88 and 10,415.63

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Solution

The third proportional to 6,811.88 and 10,415.63 is: 15,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.88 : 10,415.63 = 10,415.63 : x
  2. Step 2: Convert to fraction form
    6,811.88/10,415.63 = 10,415.63/x
  3. Step 3: Cross multiply
    6,811.88x = 10,415.63 × 10,415.63
  4. Step 4: Simplify right side
    6,811.88x = 108,485,244.14
  5. Step 5: Solve for x
    x = 108,485,244.14/6,811.88
  6. Step 6: Final answer
    x = 15,925.90

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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.