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Finding the Third Proportional to 689,856 and 1,480,512

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Solution

The third proportional to 689,856 and 1,480,512 is: 3,177,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,856 : 1,480,512 = 1,480,512 : x
  2. Step 2: Convert to fraction form
    689,856/1,480,512 = 1,480,512/x
  3. Step 3: Cross multiply
    689,856x = 1,480,512 × 1,480,512
  4. Step 4: Simplify right side
    689,856x = 2,191,915,782,144
  5. Step 5: Solve for x
    x = 2,191,915,782,144/689,856
  6. Step 6: Final answer
    x = 3,177,352.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.