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Finding the Third Proportional to 4,398,999 and 9,200,209.50

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Solution

The third proportional to 4,398,999 and 9,200,209.50 is: 19,241,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398,999 : 9,200,209.50 = 9,200,209.50 : x
  2. Step 2: Convert to fraction form
    4,398,999/9,200,209.50 = 9,200,209.50/x
  3. Step 3: Cross multiply
    4,398,999x = 9,200,209.50 × 9,200,209.50
  4. Step 4: Simplify right side
    4,398,999x = 84,643,854,843,890.25
  5. Step 5: Solve for x
    x = 84,643,854,843,890.25/4,398,999
  6. Step 6: Final answer
    x = 19,241,617.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.