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Finding the Third Proportional to 6,381.60 and 13,788.35

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Solution

The third proportional to 6,381.60 and 13,788.35 is: 29,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.60 : 13,788.35 = 13,788.35 : x
  2. Step 2: Convert to fraction form
    6,381.60/13,788.35 = 13,788.35/x
  3. Step 3: Cross multiply
    6,381.60x = 13,788.35 × 13,788.35
  4. Step 4: Simplify right side
    6,381.60x = 190,118,638.81
  5. Step 5: Solve for x
    x = 190,118,638.81/6,381.60
  6. Step 6: Final answer
    x = 29,791.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.