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Finding the Third Proportional to 8,580.94 and 13,489.03

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Solution

The third proportional to 8,580.94 and 13,489.03 is: 21,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.94 : 13,489.03 = 13,489.03 : x
  2. Step 2: Convert to fraction form
    8,580.94/13,489.03 = 13,489.03/x
  3. Step 3: Cross multiply
    8,580.94x = 13,489.03 × 13,489.03
  4. Step 4: Simplify right side
    8,580.94x = 181,953,964.06
  5. Step 5: Solve for x
    x = 181,953,964.06/8,580.94
  6. Step 6: Final answer
    x = 21,204.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.