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Finding the Third Proportional to 198,421 and 427,945

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Solution

The third proportional to 198,421 and 427,945 is: 922,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,421 : 427,945 = 427,945 : x
  2. Step 2: Convert to fraction form
    198,421/427,945 = 427,945/x
  3. Step 3: Cross multiply
    198,421x = 427,945 × 427,945
  4. Step 4: Simplify right side
    198,421x = 183,136,923,025
  5. Step 5: Solve for x
    x = 183,136,923,025/198,421
  6. Step 6: Final answer
    x = 922,971.47

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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.