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Finding the Third Proportional to 7,631.72 and 11,690.58

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Solution

The third proportional to 7,631.72 and 11,690.58 is: 17,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.72 : 11,690.58 = 11,690.58 : x
  2. Step 2: Convert to fraction form
    7,631.72/11,690.58 = 11,690.58/x
  3. Step 3: Cross multiply
    7,631.72x = 11,690.58 × 11,690.58
  4. Step 4: Simplify right side
    7,631.72x = 136,669,616.90
  5. Step 5: Solve for x
    x = 136,669,616.90/7,631.72
  6. Step 6: Final answer
    x = 17,908.10

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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.