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Finding the Third Proportional to 640,846.69 and 1,383,017.63

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Solution

The third proportional to 640,846.69 and 1,383,017.63 is: 2,984,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,846.69 : 1,383,017.63 = 1,383,017.63 : x
  2. Step 2: Convert to fraction form
    640,846.69/1,383,017.63 = 1,383,017.63/x
  3. Step 3: Cross multiply
    640,846.69x = 1,383,017.63 × 1,383,017.63
  4. Step 4: Simplify right side
    640,846.69x = 1,912,737,751,060.64
  5. Step 5: Solve for x
    x = 1,912,737,751,060.64/640,846.69
  6. Step 6: Final answer
    x = 2,984,704.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.