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Finding the Third Proportional to 134,670 and 199,399

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Solution

The third proportional to 134,670 and 199,399 is: 295,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,670 : 199,399 = 199,399 : x
  2. Step 2: Convert to fraction form
    134,670/199,399 = 199,399/x
  3. Step 3: Cross multiply
    134,670x = 199,399 × 199,399
  4. Step 4: Simplify right side
    134,670x = 39,759,961,201
  5. Step 5: Solve for x
    x = 39,759,961,201/134,670
  6. Step 6: Final answer
    x = 295,239.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.