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Finding the Third Proportional to 199,827 and 418,128

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Solution

The third proportional to 199,827 and 418,128 is: 874,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,827 : 418,128 = 418,128 : x
  2. Step 2: Convert to fraction form
    199,827/418,128 = 418,128/x
  3. Step 3: Cross multiply
    199,827x = 418,128 × 418,128
  4. Step 4: Simplify right side
    199,827x = 174,831,024,384
  5. Step 5: Solve for x
    x = 174,831,024,384/199,827
  6. Step 6: Final answer
    x = 874,911.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.