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Finding the Third Proportional to 270,640 and 587,384

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Solution

The third proportional to 270,640 and 587,384 is: 1,274,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,640 : 587,384 = 587,384 : x
  2. Step 2: Convert to fraction form
    270,640/587,384 = 587,384/x
  3. Step 3: Cross multiply
    270,640x = 587,384 × 587,384
  4. Step 4: Simplify right side
    270,640x = 345,019,963,456
  5. Step 5: Solve for x
    x = 345,019,963,456/270,640
  6. Step 6: Final answer
    x = 1,274,829.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.