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Finding the Third Proportional to 6,631.88 and 8,717.63

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Solution

The third proportional to 6,631.88 and 8,717.63 is: 11,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.88 : 8,717.63 = 8,717.63 : x
  2. Step 2: Convert to fraction form
    6,631.88/8,717.63 = 8,717.63/x
  3. Step 3: Cross multiply
    6,631.88x = 8,717.63 × 8,717.63
  4. Step 4: Simplify right side
    6,631.88x = 75,996,985.64
  5. Step 5: Solve for x
    x = 75,996,985.64/6,631.88
  6. Step 6: Final answer
    x = 11,459.35

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.