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Finding the Third Proportional to 6,252.19 and 10,109.81

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Solution

The third proportional to 6,252.19 and 10,109.81 is: 16,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.19 : 10,109.81 = 10,109.81 : x
  2. Step 2: Convert to fraction form
    6,252.19/10,109.81 = 10,109.81/x
  3. Step 3: Cross multiply
    6,252.19x = 10,109.81 × 10,109.81
  4. Step 4: Simplify right side
    6,252.19x = 102,208,308.79
  5. Step 5: Solve for x
    x = 102,208,308.79/6,252.19
  6. Step 6: Final answer
    x = 16,347.61

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.