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Finding the Third Proportional to 305,640 and 399,384

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Solution

The third proportional to 305,640 and 399,384 is: 521,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,640 : 399,384 = 399,384 : x
  2. Step 2: Convert to fraction form
    305,640/399,384 = 399,384/x
  3. Step 3: Cross multiply
    305,640x = 399,384 × 399,384
  4. Step 4: Simplify right side
    305,640x = 159,507,579,456
  5. Step 5: Solve for x
    x = 159,507,579,456/305,640
  6. Step 6: Final answer
    x = 521,880.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.