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Finding the Third Proportional to 297,824 and 648,176

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Solution

The third proportional to 297,824 and 648,176 is: 1,410,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,824 : 648,176 = 648,176 : x
  2. Step 2: Convert to fraction form
    297,824/648,176 = 648,176/x
  3. Step 3: Cross multiply
    297,824x = 648,176 × 648,176
  4. Step 4: Simplify right side
    297,824x = 420,132,126,976
  5. Step 5: Solve for x
    x = 420,132,126,976/297,824
  6. Step 6: Final answer
    x = 1,410,672.50

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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.