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Finding the Third Proportional to 289,964.25 and 638,795.25

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Solution

The third proportional to 289,964.25 and 638,795.25 is: 1,407,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,964.25 : 638,795.25 = 638,795.25 : x
  2. Step 2: Convert to fraction form
    289,964.25/638,795.25 = 638,795.25/x
  3. Step 3: Cross multiply
    289,964.25x = 638,795.25 × 638,795.25
  4. Step 4: Simplify right side
    289,964.25x = 408,059,371,422.56
  5. Step 5: Solve for x
    x = 408,059,371,422.56/289,964.25
  6. Step 6: Final answer
    x = 1,407,274.76

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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.