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Finding the Third Proportional to 91,013 and 199,018

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Solution

The third proportional to 91,013 and 199,018 is: 435,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,013 : 199,018 = 199,018 : x
  2. Step 2: Convert to fraction form
    91,013/199,018 = 199,018/x
  3. Step 3: Cross multiply
    91,013x = 199,018 × 199,018
  4. Step 4: Simplify right side
    91,013x = 39,608,164,324
  5. Step 5: Solve for x
    x = 39,608,164,324/91,013
  6. Step 6: Final answer
    x = 435,192.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.