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Finding the Third Proportional to 290,988 and 627,846.75

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Solution

The third proportional to 290,988 and 627,846.75 is: 1,354,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,988 : 627,846.75 = 627,846.75 : x
  2. Step 2: Convert to fraction form
    290,988/627,846.75 = 627,846.75/x
  3. Step 3: Cross multiply
    290,988x = 627,846.75 × 627,846.75
  4. Step 4: Simplify right side
    290,988x = 394,191,541,485.56
  5. Step 5: Solve for x
    x = 394,191,541,485.56/290,988
  6. Step 6: Final answer
    x = 1,354,665.97

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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.