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Finding the Third Proportional to 121,446.21 and 256,905.42

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Solution

The third proportional to 121,446.21 and 256,905.42 is: 543,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,446.21 : 256,905.42 = 256,905.42 : x
  2. Step 2: Convert to fraction form
    121,446.21/256,905.42 = 256,905.42/x
  3. Step 3: Cross multiply
    121,446.21x = 256,905.42 × 256,905.42
  4. Step 4: Simplify right side
    121,446.21x = 66,000,395,788.77
  5. Step 5: Solve for x
    x = 66,000,395,788.77/121,446.21
  6. Step 6: Final answer
    x = 543,453.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.