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Finding the Third Proportional to 201,159 and 431,525

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Solution

The third proportional to 201,159 and 431,525 is: 925,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,159 : 431,525 = 431,525 : x
  2. Step 2: Convert to fraction form
    201,159/431,525 = 431,525/x
  3. Step 3: Cross multiply
    201,159x = 431,525 × 431,525
  4. Step 4: Simplify right side
    201,159x = 186,213,825,625
  5. Step 5: Solve for x
    x = 186,213,825,625/201,159
  6. Step 6: Final answer
    x = 925,704.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.