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Finding the Third Proportional to 4,740,880.50 and 10,200,825

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Solution

The third proportional to 4,740,880.50 and 10,200,825 is: 21,948,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740,880.50 : 10,200,825 = 10,200,825 : x
  2. Step 2: Convert to fraction form
    4,740,880.50/10,200,825 = 10,200,825/x
  3. Step 3: Cross multiply
    4,740,880.50x = 10,200,825 × 10,200,825
  4. Step 4: Simplify right side
    4,740,880.50x = 104,056,830,680,625
  5. Step 5: Solve for x
    x = 104,056,830,680,625/4,740,880.50
  6. Step 6: Final answer
    x = 21,948,840.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.