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Finding the Third Proportional to 135,677.53 and 298,419.19

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Solution

The third proportional to 135,677.53 and 298,419.19 is: 656,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,677.53 : 298,419.19 = 298,419.19 : x
  2. Step 2: Convert to fraction form
    135,677.53/298,419.19 = 298,419.19/x
  3. Step 3: Cross multiply
    135,677.53x = 298,419.19 × 298,419.19
  4. Step 4: Simplify right side
    135,677.53x = 89,054,011,468.16
  5. Step 5: Solve for x
    x = 89,054,011,468.16/135,677.53
  6. Step 6: Final answer
    x = 656,365.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.