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Finding the Third Proportional to 319,920 and 740,628

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Solution

The third proportional to 319,920 and 740,628 is: 1,714,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,920 : 740,628 = 740,628 : x
  2. Step 2: Convert to fraction form
    319,920/740,628 = 740,628/x
  3. Step 3: Cross multiply
    319,920x = 740,628 × 740,628
  4. Step 4: Simplify right side
    319,920x = 548,529,834,384
  5. Step 5: Solve for x
    x = 548,529,834,384/319,920
  6. Step 6: Final answer
    x = 1,714,584.38

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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.