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Finding the Third Proportional to 10,165,675.50 and 20,872,512

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Solution

The third proportional to 10,165,675.50 and 20,872,512 is: 42,856,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165,675.50 : 20,872,512 = 20,872,512 : x
  2. Step 2: Convert to fraction form
    10,165,675.50/20,872,512 = 20,872,512/x
  3. Step 3: Cross multiply
    10,165,675.50x = 20,872,512 × 20,872,512
  4. Step 4: Simplify right side
    10,165,675.50x = 435,661,757,190,144
  5. Step 5: Solve for x
    x = 435,661,757,190,144/10,165,675.50
  6. Step 6: Final answer
    x = 42,856,154.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.