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Finding the Third Proportional to 18,878.50 and 29,991.75

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Solution

The third proportional to 18,878.50 and 29,991.75 is: 47,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878.50 : 29,991.75 = 29,991.75 : x
  2. Step 2: Convert to fraction form
    18,878.50/29,991.75 = 29,991.75/x
  3. Step 3: Cross multiply
    18,878.50x = 29,991.75 × 29,991.75
  4. Step 4: Simplify right side
    18,878.50x = 899,505,068.06
  5. Step 5: Solve for x
    x = 899,505,068.06/18,878.50
  6. Step 6: Final answer
    x = 47,647.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.