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Finding the Third Proportional to 290,397 and 622,812.75

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Solution

The third proportional to 290,397 and 622,812.75 is: 1,335,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,397 : 622,812.75 = 622,812.75 : x
  2. Step 2: Convert to fraction form
    290,397/622,812.75 = 622,812.75/x
  3. Step 3: Cross multiply
    290,397x = 622,812.75 × 622,812.75
  4. Step 4: Simplify right side
    290,397x = 387,895,721,562.56
  5. Step 5: Solve for x
    x = 387,895,721,562.56/290,397
  6. Step 6: Final answer
    x = 1,335,742.87

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