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Finding the Third Proportional to 6,344.58 and 9,018.21

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Solution

The third proportional to 6,344.58 and 9,018.21 is: 12,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.58 : 9,018.21 = 9,018.21 : x
  2. Step 2: Convert to fraction form
    6,344.58/9,018.21 = 9,018.21/x
  3. Step 3: Cross multiply
    6,344.58x = 9,018.21 × 9,018.21
  4. Step 4: Simplify right side
    6,344.58x = 81,328,128.51
  5. Step 5: Solve for x
    x = 81,328,128.51/6,344.58
  6. Step 6: Final answer
    x = 12,818.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.