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Finding the Third Proportional to 290,774 and 635,554

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Solution

The third proportional to 290,774 and 635,554 is: 1,389,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,774 : 635,554 = 635,554 : x
  2. Step 2: Convert to fraction form
    290,774/635,554 = 635,554/x
  3. Step 3: Cross multiply
    290,774x = 635,554 × 635,554
  4. Step 4: Simplify right side
    290,774x = 403,928,886,916
  5. Step 5: Solve for x
    x = 403,928,886,916/290,774
  6. Step 6: Final answer
    x = 1,389,150.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.