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Finding the Third Proportional to 135,640 and 304,638

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Solution

The third proportional to 135,640 and 304,638 is: 684,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,640 : 304,638 = 304,638 : x
  2. Step 2: Convert to fraction form
    135,640/304,638 = 304,638/x
  3. Step 3: Cross multiply
    135,640x = 304,638 × 304,638
  4. Step 4: Simplify right side
    135,640x = 92,804,311,044
  5. Step 5: Solve for x
    x = 92,804,311,044/135,640
  6. Step 6: Final answer
    x = 684,195.75

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.