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Finding the Third Proportional to 388,280 and 848,400

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Solution

The third proportional to 388,280 and 848,400 is: 1,853,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,280 : 848,400 = 848,400 : x
  2. Step 2: Convert to fraction form
    388,280/848,400 = 848,400/x
  3. Step 3: Cross multiply
    388,280x = 848,400 × 848,400
  4. Step 4: Simplify right side
    388,280x = 719,782,560,000
  5. Step 5: Solve for x
    x = 719,782,560,000/388,280
  6. Step 6: Final answer
    x = 1,853,771.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.