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Finding the Third Proportional to 198,064 and 427,690

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Solution

The third proportional to 198,064 and 427,690 is: 923,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,064 : 427,690 = 427,690 : x
  2. Step 2: Convert to fraction form
    198,064/427,690 = 427,690/x
  3. Step 3: Cross multiply
    198,064x = 427,690 × 427,690
  4. Step 4: Simplify right side
    198,064x = 182,918,736,100
  5. Step 5: Solve for x
    x = 182,918,736,100/198,064
  6. Step 6: Final answer
    x = 923,533.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.