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Finding the Third Proportional to 199,813 and 427,965

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Solution

The third proportional to 199,813 and 427,965 is: 916,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,813 : 427,965 = 427,965 : x
  2. Step 2: Convert to fraction form
    199,813/427,965 = 427,965/x
  3. Step 3: Cross multiply
    199,813x = 427,965 × 427,965
  4. Step 4: Simplify right side
    199,813x = 183,154,041,225
  5. Step 5: Solve for x
    x = 183,154,041,225/199,813
  6. Step 6: Final answer
    x = 916,627.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.