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Finding the Third Proportional to 8,203.15 and 12,302.16

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Solution

The third proportional to 8,203.15 and 12,302.16 is: 18,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.15 : 12,302.16 = 12,302.16 : x
  2. Step 2: Convert to fraction form
    8,203.15/12,302.16 = 12,302.16/x
  3. Step 3: Cross multiply
    8,203.15x = 12,302.16 × 12,302.16
  4. Step 4: Simplify right side
    8,203.15x = 151,343,048.40
  5. Step 5: Solve for x
    x = 151,343,048.40/8,203.15
  6. Step 6: Final answer
    x = 18,449.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.