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Finding the Third Proportional to 422,159.34 and 622,076.20

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Solution

The third proportional to 422,159.34 and 622,076.20 is: 916,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,159.34 : 622,076.20 = 622,076.20 : x
  2. Step 2: Convert to fraction form
    422,159.34/622,076.20 = 622,076.20/x
  3. Step 3: Cross multiply
    422,159.34x = 622,076.20 × 622,076.20
  4. Step 4: Simplify right side
    422,159.34x = 386,978,802,494.42
  5. Step 5: Solve for x
    x = 386,978,802,494.42/422,159.34
  6. Step 6: Final answer
    x = 916,665.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.