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Finding the Third Proportional to 212,046.75 and 318,525.75

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Solution

The third proportional to 212,046.75 and 318,525.75 is: 478,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,046.75 : 318,525.75 = 318,525.75 : x
  2. Step 2: Convert to fraction form
    212,046.75/318,525.75 = 318,525.75/x
  3. Step 3: Cross multiply
    212,046.75x = 318,525.75 × 318,525.75
  4. Step 4: Simplify right side
    212,046.75x = 101,458,653,413.06
  5. Step 5: Solve for x
    x = 101,458,653,413.06/212,046.75
  6. Step 6: Final answer
    x = 478,473.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.