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Finding the Third Proportional to 8,631.56 and 9,201.09

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Solution

The third proportional to 8,631.56 and 9,201.09 is: 9,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,631.56 : 9,201.09 = 9,201.09 : x
  2. Step 2: Convert to fraction form
    8,631.56/9,201.09 = 9,201.09/x
  3. Step 3: Cross multiply
    8,631.56x = 9,201.09 × 9,201.09
  4. Step 4: Simplify right side
    8,631.56x = 84,660,126.20
  5. Step 5: Solve for x
    x = 84,660,126.20/8,631.56
  6. Step 6: Final answer
    x = 9,808.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.