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Finding the Third Proportional to 9,682.03 and 21,110.63

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Solution

The third proportional to 9,682.03 and 21,110.63 is: 46,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.03 : 21,110.63 = 21,110.63 : x
  2. Step 2: Convert to fraction form
    9,682.03/21,110.63 = 21,110.63/x
  3. Step 3: Cross multiply
    9,682.03x = 21,110.63 × 21,110.63
  4. Step 4: Simplify right side
    9,682.03x = 445,658,487.89
  5. Step 5: Solve for x
    x = 445,658,487.89/9,682.03
  6. Step 6: Final answer
    x = 46,029.44

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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.