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Finding the Third Proportional to 297,890 and 648,192

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Solution

The third proportional to 297,890 and 648,192 is: 1,410,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,890 : 648,192 = 648,192 : x
  2. Step 2: Convert to fraction form
    297,890/648,192 = 648,192/x
  3. Step 3: Cross multiply
    297,890x = 648,192 × 648,192
  4. Step 4: Simplify right side
    297,890x = 420,152,868,864
  5. Step 5: Solve for x
    x = 420,152,868,864/297,890
  6. Step 6: Final answer
    x = 1,410,429.58

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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.