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Finding the Third Proportional to 289,220.63 and 622,839.38

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Solution

The third proportional to 289,220.63 and 622,839.38 is: 1,341,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,220.63 : 622,839.38 = 622,839.38 : x
  2. Step 2: Convert to fraction form
    289,220.63/622,839.38 = 622,839.38/x
  3. Step 3: Cross multiply
    289,220.63x = 622,839.38 × 622,839.38
  4. Step 4: Simplify right side
    289,220.63x = 387,928,887,050.39
  5. Step 5: Solve for x
    x = 387,928,887,050.39/289,220.63
  6. Step 6: Final answer
    x = 1,341,290.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.