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Finding the Third Proportional to 289,070.25 and 635,805

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Solution

The third proportional to 289,070.25 and 635,805 is: 1,398,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,070.25 : 635,805 = 635,805 : x
  2. Step 2: Convert to fraction form
    289,070.25/635,805 = 635,805/x
  3. Step 3: Cross multiply
    289,070.25x = 635,805 × 635,805
  4. Step 4: Simplify right side
    289,070.25x = 404,247,998,025
  5. Step 5: Solve for x
    x = 404,247,998,025/289,070.25
  6. Step 6: Final answer
    x = 1,398,442.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.