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Finding the Third Proportional to 135,378 and 199,143

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Solution

The third proportional to 135,378 and 199,143 is: 292,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,378 : 199,143 = 199,143 : x
  2. Step 2: Convert to fraction form
    135,378/199,143 = 199,143/x
  3. Step 3: Cross multiply
    135,378x = 199,143 × 199,143
  4. Step 4: Simplify right side
    135,378x = 39,657,934,449
  5. Step 5: Solve for x
    x = 39,657,934,449/135,378
  6. Step 6: Final answer
    x = 292,942.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.