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Finding the Third Proportional to 351,389 and 770,493

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Solution

The third proportional to 351,389 and 770,493 is: 1,689,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,389 : 770,493 = 770,493 : x
  2. Step 2: Convert to fraction form
    351,389/770,493 = 770,493/x
  3. Step 3: Cross multiply
    351,389x = 770,493 × 770,493
  4. Step 4: Simplify right side
    351,389x = 593,659,463,049
  5. Step 5: Solve for x
    x = 593,659,463,049/351,389
  6. Step 6: Final answer
    x = 1,689,465.13

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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.