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Finding the Third Proportional to 198,975 and 429,462

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Solution

The third proportional to 198,975 and 429,462 is: 926,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,975 : 429,462 = 429,462 : x
  2. Step 2: Convert to fraction form
    198,975/429,462 = 429,462/x
  3. Step 3: Cross multiply
    198,975x = 429,462 × 429,462
  4. Step 4: Simplify right side
    198,975x = 184,437,609,444
  5. Step 5: Solve for x
    x = 184,437,609,444/198,975
  6. Step 6: Final answer
    x = 926,938.61

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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.