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Finding the Third Proportional to 290,431 and 636,961

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Solution

The third proportional to 290,431 and 636,961 is: 1,396,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,431 : 636,961 = 636,961 : x
  2. Step 2: Convert to fraction form
    290,431/636,961 = 636,961/x
  3. Step 3: Cross multiply
    290,431x = 636,961 × 636,961
  4. Step 4: Simplify right side
    290,431x = 405,719,315,521
  5. Step 5: Solve for x
    x = 405,719,315,521/290,431
  6. Step 6: Final answer
    x = 1,396,955.96

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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.