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Finding the Third Proportional to 198,430 and 427,962

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Solution

The third proportional to 198,430 and 427,962 is: 923,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,430 : 427,962 = 427,962 : x
  2. Step 2: Convert to fraction form
    198,430/427,962 = 427,962/x
  3. Step 3: Cross multiply
    198,430x = 427,962 × 427,962
  4. Step 4: Simplify right side
    198,430x = 183,151,473,444
  5. Step 5: Solve for x
    x = 183,151,473,444/198,430
  6. Step 6: Final answer
    x = 923,002.94

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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.