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Finding the Third Proportional to 299,786 and 648,494

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Solution

The third proportional to 299,786 and 648,494 is: 1,402,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,786 : 648,494 = 648,494 : x
  2. Step 2: Convert to fraction form
    299,786/648,494 = 648,494/x
  3. Step 3: Cross multiply
    299,786x = 648,494 × 648,494
  4. Step 4: Simplify right side
    299,786x = 420,544,468,036
  5. Step 5: Solve for x
    x = 420,544,468,036/299,786
  6. Step 6: Final answer
    x = 1,402,815.57

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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.