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Finding the Third Proportional to 284,320 and 612,384

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Solution

The third proportional to 284,320 and 612,384 is: 1,318,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,320 : 612,384 = 612,384 : x
  2. Step 2: Convert to fraction form
    284,320/612,384 = 612,384/x
  3. Step 3: Cross multiply
    284,320x = 612,384 × 612,384
  4. Step 4: Simplify right side
    284,320x = 375,014,163,456
  5. Step 5: Solve for x
    x = 375,014,163,456/284,320
  6. Step 6: Final answer
    x = 1,318,986.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.