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Finding the Third Proportional to 248,847 and 377,878.50

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Solution

The third proportional to 248,847 and 377,878.50 is: 573,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,847 : 377,878.50 = 377,878.50 : x
  2. Step 2: Convert to fraction form
    248,847/377,878.50 = 377,878.50/x
  3. Step 3: Cross multiply
    248,847x = 377,878.50 × 377,878.50
  4. Step 4: Simplify right side
    248,847x = 142,792,160,762.25
  5. Step 5: Solve for x
    x = 142,792,160,762.25/248,847
  6. Step 6: Final answer
    x = 573,815.08

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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.