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Finding the Third Proportional to 348,486 and 755,980

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Solution

The third proportional to 348,486 and 755,980 is: 1,639,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,486 : 755,980 = 755,980 : x
  2. Step 2: Convert to fraction form
    348,486/755,980 = 755,980/x
  3. Step 3: Cross multiply
    348,486x = 755,980 × 755,980
  4. Step 4: Simplify right side
    348,486x = 571,505,760,400
  5. Step 5: Solve for x
    x = 571,505,760,400/348,486
  6. Step 6: Final answer
    x = 1,639,967.63

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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.