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Finding the Third Proportional to 319,917 and 740,620

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Solution

The third proportional to 319,917 and 740,620 is: 1,714,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,917 : 740,620 = 740,620 : x
  2. Step 2: Convert to fraction form
    319,917/740,620 = 740,620/x
  3. Step 3: Cross multiply
    319,917x = 740,620 × 740,620
  4. Step 4: Simplify right side
    319,917x = 548,517,984,400
  5. Step 5: Solve for x
    x = 548,517,984,400/319,917
  6. Step 6: Final answer
    x = 1,714,563.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.