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Finding the Third Proportional to 3,872,468.25 and 8,509,252.50

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Solution

The third proportional to 3,872,468.25 and 8,509,252.50 is: 18,697,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872,468.25 : 8,509,252.50 = 8,509,252.50 : x
  2. Step 2: Convert to fraction form
    3,872,468.25/8,509,252.50 = 8,509,252.50/x
  3. Step 3: Cross multiply
    3,872,468.25x = 8,509,252.50 × 8,509,252.50
  4. Step 4: Simplify right side
    3,872,468.25x = 72,407,378,108,756.25
  5. Step 5: Solve for x
    x = 72,407,378,108,756.25/3,872,468.25
  6. Step 6: Final answer
    x = 18,697,991.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.