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Finding the Third Proportional to 351,074 and 768,820

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Solution

The third proportional to 351,074 and 768,820 is: 1,683,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,074 : 768,820 = 768,820 : x
  2. Step 2: Convert to fraction form
    351,074/768,820 = 768,820/x
  3. Step 3: Cross multiply
    351,074x = 768,820 × 768,820
  4. Step 4: Simplify right side
    351,074x = 591,084,192,400
  5. Step 5: Solve for x
    x = 591,084,192,400/351,074
  6. Step 6: Final answer
    x = 1,683,645.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.