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Finding the Third Proportional to 157,170 and 321,603

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Solution

The third proportional to 157,170 and 321,603 is: 658,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,170 : 321,603 = 321,603 : x
  2. Step 2: Convert to fraction form
    157,170/321,603 = 321,603/x
  3. Step 3: Cross multiply
    157,170x = 321,603 × 321,603
  4. Step 4: Simplify right side
    157,170x = 103,428,489,609
  5. Step 5: Solve for x
    x = 103,428,489,609/157,170
  6. Step 6: Final answer
    x = 658,067.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.