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Finding the Third Proportional to 281,652 and 436,906.50

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Solution

The third proportional to 281,652 and 436,906.50 is: 677,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,652 : 436,906.50 = 436,906.50 : x
  2. Step 2: Convert to fraction form
    281,652/436,906.50 = 436,906.50/x
  3. Step 3: Cross multiply
    281,652x = 436,906.50 × 436,906.50
  4. Step 4: Simplify right side
    281,652x = 190,887,289,742.25
  5. Step 5: Solve for x
    x = 190,887,289,742.25/281,652
  6. Step 6: Final answer
    x = 677,741.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.