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Finding the Third Proportional to 3,686.19 and 8,020.38

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Solution

The third proportional to 3,686.19 and 8,020.38 is: 17,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.19 : 8,020.38 = 8,020.38 : x
  2. Step 2: Convert to fraction form
    3,686.19/8,020.38 = 8,020.38/x
  3. Step 3: Cross multiply
    3,686.19x = 8,020.38 × 8,020.38
  4. Step 4: Simplify right side
    3,686.19x = 64,326,415.14
  5. Step 5: Solve for x
    x = 64,326,415.14/3,686.19
  6. Step 6: Final answer
    x = 17,450.66

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1.5x scale

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.