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Finding the Third Proportional to 8,636.63 and 18,503.44

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Solution

The third proportional to 8,636.63 and 18,503.44 is: 39,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,636.63 : 18,503.44 = 18,503.44 : x
  2. Step 2: Convert to fraction form
    8,636.63/18,503.44 = 18,503.44/x
  3. Step 3: Cross multiply
    8,636.63x = 18,503.44 × 18,503.44
  4. Step 4: Simplify right side
    8,636.63x = 342,377,199.32
  5. Step 5: Solve for x
    x = 342,377,199.32/8,636.63
  6. Step 6: Final answer
    x = 39,642.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.