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Finding the Third Proportional to 8,699.63 and 18,961.88

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Solution

The third proportional to 8,699.63 and 18,961.88 is: 41,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.63 : 18,961.88 = 18,961.88 : x
  2. Step 2: Convert to fraction form
    8,699.63/18,961.88 = 18,961.88/x
  3. Step 3: Cross multiply
    8,699.63x = 18,961.88 × 18,961.88
  4. Step 4: Simplify right side
    8,699.63x = 359,552,703.52
  5. Step 5: Solve for x
    x = 359,552,703.52/8,699.63
  6. Step 6: Final answer
    x = 41,329.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.