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Finding the Third Proportional to 3,785,309.72 and 8,209,496.81

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Solution

The third proportional to 3,785,309.72 and 8,209,496.81 is: 17,804,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,309.72 : 8,209,496.81 = 8,209,496.81 : x
  2. Step 2: Convert to fraction form
    3,785,309.72/8,209,496.81 = 8,209,496.81/x
  3. Step 3: Cross multiply
    3,785,309.72x = 8,209,496.81 × 8,209,496.81
  4. Step 4: Simplify right side
    3,785,309.72x = 67,395,837,914,447.66
  5. Step 5: Solve for x
    x = 67,395,837,914,447.66/3,785,309.72
  6. Step 6: Final answer
    x = 17,804,576.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.