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Finding the Third Proportional to 8,216.37 and 13,415.10

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Solution

The third proportional to 8,216.37 and 13,415.10 is: 21,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.37 : 13,415.10 = 13,415.10 : x
  2. Step 2: Convert to fraction form
    8,216.37/13,415.10 = 13,415.10/x
  3. Step 3: Cross multiply
    8,216.37x = 13,415.10 × 13,415.10
  4. Step 4: Simplify right side
    8,216.37x = 179,964,845.13
  5. Step 5: Solve for x
    x = 179,964,845.13/8,216.37
  6. Step 6: Final answer
    x = 21,903.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.