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Finding the Third Proportional to 153.70 and 252.07

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Solution

The third proportional to 153.70 and 252.07 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.70 : 252.07 = 252.07 : x
  2. Step 2: Convert to fraction form
    153.70/252.07 = 252.07/x
  3. Step 3: Cross multiply
    153.70x = 252.07 × 252.07
  4. Step 4: Simplify right side
    153.70x = 63,539.44
  5. Step 5: Solve for x
    x = 63,539.44/153.70
  6. Step 6: Final answer
    x = 413.39

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.