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Finding the Third Proportional to 1,684.13 and 4,065.19

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Solution

The third proportional to 1,684.13 and 4,065.19 is: 9,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.13 : 4,065.19 = 4,065.19 : x
  2. Step 2: Convert to fraction form
    1,684.13/4,065.19 = 4,065.19/x
  3. Step 3: Cross multiply
    1,684.13x = 4,065.19 × 4,065.19
  4. Step 4: Simplify right side
    1,684.13x = 16,525,749.41
  5. Step 5: Solve for x
    x = 16,525,749.41/1,684.13
  6. Step 6: Final answer
    x = 9,812.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.