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Finding the Third Proportional to 409,616 and 635,988

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Solution

The third proportional to 409,616 and 635,988 is: 987,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,616 : 635,988 = 635,988 : x
  2. Step 2: Convert to fraction form
    409,616/635,988 = 635,988/x
  3. Step 3: Cross multiply
    409,616x = 635,988 × 635,988
  4. Step 4: Simplify right side
    409,616x = 404,480,736,144
  5. Step 5: Solve for x
    x = 404,480,736,144/409,616
  6. Step 6: Final answer
    x = 987,463.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.