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Finding the Third Proportional to 299,928 and 648,816

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Solution

The third proportional to 299,928 and 648,816 is: 1,403,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,928 : 648,816 = 648,816 : x
  2. Step 2: Convert to fraction form
    299,928/648,816 = 648,816/x
  3. Step 3: Cross multiply
    299,928x = 648,816 × 648,816
  4. Step 4: Simplify right side
    299,928x = 420,962,201,856
  5. Step 5: Solve for x
    x = 420,962,201,856/299,928
  6. Step 6: Final answer
    x = 1,403,544.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.