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Finding the Third Proportional to 290,529.44 and 627,741.93

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Solution

The third proportional to 290,529.44 and 627,741.93 is: 1,356,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,529.44 : 627,741.93 = 627,741.93 : x
  2. Step 2: Convert to fraction form
    290,529.44/627,741.93 = 627,741.93/x
  3. Step 3: Cross multiply
    290,529.44x = 627,741.93 × 627,741.93
  4. Step 4: Simplify right side
    290,529.44x = 394,059,932,739.87
  5. Step 5: Solve for x
    x = 394,059,932,739.87/290,529.44
  6. Step 6: Final answer
    x = 1,356,351.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.