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Finding the Third Proportional to 3,851,860.50 and 9,109,212.75

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Solution

The third proportional to 3,851,860.50 and 9,109,212.75 is: 21,542,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851,860.50 : 9,109,212.75 = 9,109,212.75 : x
  2. Step 2: Convert to fraction form
    3,851,860.50/9,109,212.75 = 9,109,212.75/x
  3. Step 3: Cross multiply
    3,851,860.50x = 9,109,212.75 × 9,109,212.75
  4. Step 4: Simplify right side
    3,851,860.50x = 82,977,756,924,762.56
  5. Step 5: Solve for x
    x = 82,977,756,924,762.56/3,851,860.50
  6. Step 6: Final answer
    x = 21,542,253.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.