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Finding the Third Proportional to 135,738 and 289,504

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Solution

The third proportional to 135,738 and 289,504 is: 617,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,738 : 289,504 = 289,504 : x
  2. Step 2: Convert to fraction form
    135,738/289,504 = 289,504/x
  3. Step 3: Cross multiply
    135,738x = 289,504 × 289,504
  4. Step 4: Simplify right side
    135,738x = 83,812,566,016
  5. Step 5: Solve for x
    x = 83,812,566,016/135,738
  6. Step 6: Final answer
    x = 617,458.38

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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.