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Finding the Third Proportional to 13,058.50 and 19,893.50

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Solution

The third proportional to 13,058.50 and 19,893.50 is: 30,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.50 : 19,893.50 = 19,893.50 : x
  2. Step 2: Convert to fraction form
    13,058.50/19,893.50 = 19,893.50/x
  3. Step 3: Cross multiply
    13,058.50x = 19,893.50 × 19,893.50
  4. Step 4: Simplify right side
    13,058.50x = 395,751,342.25
  5. Step 5: Solve for x
    x = 395,751,342.25/13,058.50
  6. Step 6: Final answer
    x = 30,306.03

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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.