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Finding the Third Proportional to 280,638 and 427,961

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Solution

The third proportional to 280,638 and 427,961 is: 652,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,638 : 427,961 = 427,961 : x
  2. Step 2: Convert to fraction form
    280,638/427,961 = 427,961/x
  3. Step 3: Cross multiply
    280,638x = 427,961 × 427,961
  4. Step 4: Simplify right side
    280,638x = 183,150,617,521
  5. Step 5: Solve for x
    x = 183,150,617,521/280,638
  6. Step 6: Final answer
    x = 652,622.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.