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Finding the Third Proportional to 13,842.77 and 29,654.86

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Solution

The third proportional to 13,842.77 and 29,654.86 is: 63,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.77 : 29,654.86 = 29,654.86 : x
  2. Step 2: Convert to fraction form
    13,842.77/29,654.86 = 29,654.86/x
  3. Step 3: Cross multiply
    13,842.77x = 29,654.86 × 29,654.86
  4. Step 4: Simplify right side
    13,842.77x = 879,410,684.55
  5. Step 5: Solve for x
    x = 879,410,684.55/13,842.77
  6. Step 6: Final answer
    x = 63,528.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.