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Finding the Third Proportional to 289,739 and 635,490

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Solution

The third proportional to 289,739 and 635,490 is: 1,393,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,739 : 635,490 = 635,490 : x
  2. Step 2: Convert to fraction form
    289,739/635,490 = 635,490/x
  3. Step 3: Cross multiply
    289,739x = 635,490 × 635,490
  4. Step 4: Simplify right side
    289,739x = 403,847,540,100
  5. Step 5: Solve for x
    x = 403,847,540,100/289,739
  6. Step 6: Final answer
    x = 1,393,832.17

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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.