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Finding the Third Proportional to 135,243 and 298,134

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Solution

The third proportional to 135,243 and 298,134 is: 657,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,243 : 298,134 = 298,134 : x
  2. Step 2: Convert to fraction form
    135,243/298,134 = 298,134/x
  3. Step 3: Cross multiply
    135,243x = 298,134 × 298,134
  4. Step 4: Simplify right side
    135,243x = 88,883,881,956
  5. Step 5: Solve for x
    x = 88,883,881,956/135,243
  6. Step 6: Final answer
    x = 657,216.14

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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.