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Finding the Third Proportional to 351,378 and 772,728

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Solution

The third proportional to 351,378 and 772,728 is: 1,699,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,378 : 772,728 = 772,728 : x
  2. Step 2: Convert to fraction form
    351,378/772,728 = 772,728/x
  3. Step 3: Cross multiply
    351,378x = 772,728 × 772,728
  4. Step 4: Simplify right side
    351,378x = 597,108,561,984
  5. Step 5: Solve for x
    x = 597,108,561,984/351,378
  6. Step 6: Final answer
    x = 1,699,333.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.