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Finding the Third Proportional to 289,640 and 404,634

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Solution

The third proportional to 289,640 and 404,634 is: 565,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,640 : 404,634 = 404,634 : x
  2. Step 2: Convert to fraction form
    289,640/404,634 = 404,634/x
  3. Step 3: Cross multiply
    289,640x = 404,634 × 404,634
  4. Step 4: Simplify right side
    289,640x = 163,728,673,956
  5. Step 5: Solve for x
    x = 163,728,673,956/289,640
  6. Step 6: Final answer
    x = 565,283.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.