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Finding the Third Proportional to 297,816.75 and 648,121.50

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Solution

The third proportional to 297,816.75 and 648,121.50 is: 1,410,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,816.75 : 648,121.50 = 648,121.50 : x
  2. Step 2: Convert to fraction form
    297,816.75/648,121.50 = 648,121.50/x
  3. Step 3: Cross multiply
    297,816.75x = 648,121.50 × 648,121.50
  4. Step 4: Simplify right side
    297,816.75x = 420,061,478,762.25
  5. Step 5: Solve for x
    x = 420,061,478,762.25/297,816.75
  6. Step 6: Final answer
    x = 1,410,469.62

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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.