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Finding the Third Proportional to 290,388.80 and 622,814.22

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Solution

The third proportional to 290,388.80 and 622,814.22 is: 1,335,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,388.80 : 622,814.22 = 622,814.22 : x
  2. Step 2: Convert to fraction form
    290,388.80/622,814.22 = 622,814.22/x
  3. Step 3: Cross multiply
    290,388.80x = 622,814.22 × 622,814.22
  4. Step 4: Simplify right side
    290,388.80x = 387,897,553,510.04
  5. Step 5: Solve for x
    x = 387,897,553,510.04/290,388.80
  6. Step 6: Final answer
    x = 1,335,786.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.