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Finding the Third Proportional to 270,503.72 and 422,132.34

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Solution

The third proportional to 270,503.72 and 422,132.34 is: 658,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,503.72 : 422,132.34 = 422,132.34 : x
  2. Step 2: Convert to fraction form
    270,503.72/422,132.34 = 422,132.34/x
  3. Step 3: Cross multiply
    270,503.72x = 422,132.34 × 422,132.34
  4. Step 4: Simplify right side
    270,503.72x = 178,195,715,639.87
  5. Step 5: Solve for x
    x = 178,195,715,639.87/270,503.72
  6. Step 6: Final answer
    x = 658,755.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.