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Finding the Third Proportional to 290,797 and 635,598

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Solution

The third proportional to 290,797 and 635,598 is: 1,389,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,797 : 635,598 = 635,598 : x
  2. Step 2: Convert to fraction form
    290,797/635,598 = 635,598/x
  3. Step 3: Cross multiply
    290,797x = 635,598 × 635,598
  4. Step 4: Simplify right side
    290,797x = 403,984,817,604
  5. Step 5: Solve for x
    x = 403,984,817,604/290,797
  6. Step 6: Final answer
    x = 1,389,233.10

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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.