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Finding the Third Proportional to 132,540.75 and 289,820.25

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Solution

The third proportional to 132,540.75 and 289,820.25 is: 633,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,540.75 : 289,820.25 = 289,820.25 : x
  2. Step 2: Convert to fraction form
    132,540.75/289,820.25 = 289,820.25/x
  3. Step 3: Cross multiply
    132,540.75x = 289,820.25 × 289,820.25
  4. Step 4: Simplify right side
    132,540.75x = 83,995,777,310.06
  5. Step 5: Solve for x
    x = 83,995,777,310.06/132,540.75
  6. Step 6: Final answer
    x = 633,735.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.