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Finding the Third Proportional to 3,785,161.13 and 8,303,077.31

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Solution

The third proportional to 3,785,161.13 and 8,303,077.31 is: 18,213,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,161.13 : 8,303,077.31 = 8,303,077.31 : x
  2. Step 2: Convert to fraction form
    3,785,161.13/8,303,077.31 = 8,303,077.31/x
  3. Step 3: Cross multiply
    3,785,161.13x = 8,303,077.31 × 8,303,077.31
  4. Step 4: Simplify right side
    3,785,161.13x = 68,941,092,857,352.22
  5. Step 5: Solve for x
    x = 68,941,092,857,352.22/3,785,161.13
  6. Step 6: Final answer
    x = 18,213,516.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.