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Finding the Third Proportional to 297,858 and 648,324

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Solution

The third proportional to 297,858 and 648,324 is: 1,411,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,858 : 648,324 = 648,324 : x
  2. Step 2: Convert to fraction form
    297,858/648,324 = 648,324/x
  3. Step 3: Cross multiply
    297,858x = 648,324 × 648,324
  4. Step 4: Simplify right side
    297,858x = 420,324,008,976
  5. Step 5: Solve for x
    x = 420,324,008,976/297,858
  6. Step 6: Final answer
    x = 1,411,155.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.