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Finding the Third Proportional to 131,422 and 201,075

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Solution

The third proportional to 131,422 and 201,075 is: 307,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,422 : 201,075 = 201,075 : x
  2. Step 2: Convert to fraction form
    131,422/201,075 = 201,075/x
  3. Step 3: Cross multiply
    131,422x = 201,075 × 201,075
  4. Step 4: Simplify right side
    131,422x = 40,431,155,625
  5. Step 5: Solve for x
    x = 40,431,155,625/131,422
  6. Step 6: Final answer
    x = 307,643.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.