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Finding the Third Proportional to 135,245 and 289,252

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Solution

The third proportional to 135,245 and 289,252 is: 618,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,245 : 289,252 = 289,252 : x
  2. Step 2: Convert to fraction form
    135,245/289,252 = 289,252/x
  3. Step 3: Cross multiply
    135,245x = 289,252 × 289,252
  4. Step 4: Simplify right side
    135,245x = 83,666,719,504
  5. Step 5: Solve for x
    x = 83,666,719,504/135,245
  6. Step 6: Final answer
    x = 618,630.78

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Why These Related Problems?

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