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Finding the Third Proportional to 135,247 and 289,256

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Solution

The third proportional to 135,247 and 289,256 is: 618,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,247 : 289,256 = 289,256 : x
  2. Step 2: Convert to fraction form
    135,247/289,256 = 289,256/x
  3. Step 3: Cross multiply
    135,247x = 289,256 × 289,256
  4. Step 4: Simplify right side
    135,247x = 83,669,033,536
  5. Step 5: Solve for x
    x = 83,669,033,536/135,247
  6. Step 6: Final answer
    x = 618,638.74

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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.