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Finding the Third Proportional to 270,512.16 and 422,147.53

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Solution

The third proportional to 270,512.16 and 422,147.53 is: 658,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,512.16 : 422,147.53 = 422,147.53 : x
  2. Step 2: Convert to fraction form
    270,512.16/422,147.53 = 422,147.53/x
  3. Step 3: Cross multiply
    270,512.16x = 422,147.53 × 422,147.53
  4. Step 4: Simplify right side
    270,512.16x = 178,208,538,140.47
  5. Step 5: Solve for x
    x = 178,208,538,140.47/270,512.16
  6. Step 6: Final answer
    x = 658,782.00

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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.