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Finding the Third Proportional to 135,898 and 288,240

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Solution

The third proportional to 135,898 and 288,240 is: 611,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,898 : 288,240 = 288,240 : x
  2. Step 2: Convert to fraction form
    135,898/288,240 = 288,240/x
  3. Step 3: Cross multiply
    135,898x = 288,240 × 288,240
  4. Step 4: Simplify right side
    135,898x = 83,082,297,600
  5. Step 5: Solve for x
    x = 83,082,297,600/135,898
  6. Step 6: Final answer
    x = 611,357.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.