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Finding the Third Proportional to 270,501.31 and 422,128.88

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Solution

The third proportional to 270,501.31 and 422,128.88 is: 658,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,501.31 : 422,128.88 = 422,128.88 : x
  2. Step 2: Convert to fraction form
    270,501.31/422,128.88 = 422,128.88/x
  3. Step 3: Cross multiply
    270,501.31x = 422,128.88 × 422,128.88
  4. Step 4: Simplify right side
    270,501.31x = 178,192,787,108.77
  5. Step 5: Solve for x
    x = 178,192,787,108.77/270,501.31
  6. Step 6: Final answer
    x = 658,750.18

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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.