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Finding the Third Proportional to 100,300 and 152,425

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Solution

The third proportional to 100,300 and 152,425 is: 231,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,300 : 152,425 = 152,425 : x
  2. Step 2: Convert to fraction form
    100,300/152,425 = 152,425/x
  3. Step 3: Cross multiply
    100,300x = 152,425 × 152,425
  4. Step 4: Simplify right side
    100,300x = 23,233,380,625
  5. Step 5: Solve for x
    x = 23,233,380,625/100,300
  6. Step 6: Final answer
    x = 231,638.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.