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Finding the Third Proportional to 94,648.50 and 221,175.56

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Solution

The third proportional to 94,648.50 and 221,175.56 is: 516,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,648.50 : 221,175.56 = 221,175.56 : x
  2. Step 2: Convert to fraction form
    94,648.50/221,175.56 = 221,175.56/x
  3. Step 3: Cross multiply
    94,648.50x = 221,175.56 × 221,175.56
  4. Step 4: Simplify right side
    94,648.50x = 48,918,629,447.19
  5. Step 5: Solve for x
    x = 48,918,629,447.19/94,648.50
  6. Step 6: Final answer
    x = 516,845.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.