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Finding the Third Proportional to 135,911 and 289,318

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Solution

The third proportional to 135,911 and 289,318 is: 615,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,911 : 289,318 = 289,318 : x
  2. Step 2: Convert to fraction form
    135,911/289,318 = 289,318/x
  3. Step 3: Cross multiply
    135,911x = 289,318 × 289,318
  4. Step 4: Simplify right side
    135,911x = 83,704,905,124
  5. Step 5: Solve for x
    x = 83,704,905,124/135,911
  6. Step 6: Final answer
    x = 615,880.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.