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Finding the Third Proportional to 4,787,999 and 10,638,865

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Solution

The third proportional to 4,787,999 and 10,638,865 is: 23,639,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787,999 : 10,638,865 = 10,638,865 : x
  2. Step 2: Convert to fraction form
    4,787,999/10,638,865 = 10,638,865/x
  3. Step 3: Cross multiply
    4,787,999x = 10,638,865 × 10,638,865
  4. Step 4: Simplify right side
    4,787,999x = 113,185,448,488,225
  5. Step 5: Solve for x
    x = 113,185,448,488,225/4,787,999
  6. Step 6: Final answer
    x = 23,639,405.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.