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Finding the Third Proportional to 778,512 and 1,673,420

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Solution

The third proportional to 778,512 and 1,673,420 is: 3,597,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,512 : 1,673,420 = 1,673,420 : x
  2. Step 2: Convert to fraction form
    778,512/1,673,420 = 1,673,420/x
  3. Step 3: Cross multiply
    778,512x = 1,673,420 × 1,673,420
  4. Step 4: Simplify right side
    778,512x = 2,800,334,496,400
  5. Step 5: Solve for x
    x = 2,800,334,496,400/778,512
  6. Step 6: Final answer
    x = 3,597,034.47

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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.