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Finding the Third Proportional to 299,538 and 648,918

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Solution

The third proportional to 299,538 and 648,918 is: 1,405,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,538 : 648,918 = 648,918 : x
  2. Step 2: Convert to fraction form
    299,538/648,918 = 648,918/x
  3. Step 3: Cross multiply
    299,538x = 648,918 × 648,918
  4. Step 4: Simplify right side
    299,538x = 421,094,570,724
  5. Step 5: Solve for x
    x = 421,094,570,724/299,538
  6. Step 6: Final answer
    x = 1,405,813.52

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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.