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Finding the Third Proportional to 135,252 and 289,266

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Solution

The third proportional to 135,252 and 289,266 is: 618,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,252 : 289,266 = 289,266 : x
  2. Step 2: Convert to fraction form
    135,252/289,266 = 289,266/x
  3. Step 3: Cross multiply
    135,252x = 289,266 × 289,266
  4. Step 4: Simplify right side
    135,252x = 83,674,818,756
  5. Step 5: Solve for x
    x = 83,674,818,756/135,252
  6. Step 6: Final answer
    x = 618,658.64

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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.