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Finding the Third Proportional to 8,637.89 and 12,220.24

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Solution

The third proportional to 8,637.89 and 12,220.24 is: 17,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.89 : 12,220.24 = 12,220.24 : x
  2. Step 2: Convert to fraction form
    8,637.89/12,220.24 = 12,220.24/x
  3. Step 3: Cross multiply
    8,637.89x = 12,220.24 × 12,220.24
  4. Step 4: Simplify right side
    8,637.89x = 149,334,319.12
  5. Step 5: Solve for x
    x = 149,334,319.12/8,637.89
  6. Step 6: Final answer
    x = 17,288.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.