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Finding the Third Proportional to 199,757 and 427,944

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Solution

The third proportional to 199,757 and 427,944 is: 916,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,757 : 427,944 = 427,944 : x
  2. Step 2: Convert to fraction form
    199,757/427,944 = 427,944/x
  3. Step 3: Cross multiply
    199,757x = 427,944 × 427,944
  4. Step 4: Simplify right side
    199,757x = 183,136,067,136
  5. Step 5: Solve for x
    x = 183,136,067,136/199,757
  6. Step 6: Final answer
    x = 916,794.24

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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.