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Finding the Third Proportional to 3,785,373 and 8,209,633.50

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Solution

The third proportional to 3,785,373 and 8,209,633.50 is: 17,804,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,373 : 8,209,633.50 = 8,209,633.50 : x
  2. Step 2: Convert to fraction form
    3,785,373/8,209,633.50 = 8,209,633.50/x
  3. Step 3: Cross multiply
    3,785,373x = 8,209,633.50 × 8,209,633.50
  4. Step 4: Simplify right side
    3,785,373x = 67,398,082,204,322.25
  5. Step 5: Solve for x
    x = 67,398,082,204,322.25/3,785,373
  6. Step 6: Final answer
    x = 17,804,872.12

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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.