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Finding the Third Proportional to 8,684.63 and 13,455.75

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Solution

The third proportional to 8,684.63 and 13,455.75 is: 20,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.63 : 13,455.75 = 13,455.75 : x
  2. Step 2: Convert to fraction form
    8,684.63/13,455.75 = 13,455.75/x
  3. Step 3: Cross multiply
    8,684.63x = 13,455.75 × 13,455.75
  4. Step 4: Simplify right side
    8,684.63x = 181,057,208.06
  5. Step 5: Solve for x
    x = 181,057,208.06/8,684.63
  6. Step 6: Final answer
    x = 20,848.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.