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Finding the Third Proportional to 319,918 and 740,623

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Solution

The third proportional to 319,918 and 740,623 is: 1,714,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,918 : 740,623 = 740,623 : x
  2. Step 2: Convert to fraction form
    319,918/740,623 = 740,623/x
  3. Step 3: Cross multiply
    319,918x = 740,623 × 740,623
  4. Step 4: Simplify right side
    319,918x = 548,522,428,129
  5. Step 5: Solve for x
    x = 548,522,428,129/319,918
  6. Step 6: Final answer
    x = 1,714,571.95

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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.