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Finding the Third Proportional to 315,296 and 463,728

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Solution

The third proportional to 315,296 and 463,728 is: 682,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,296 : 463,728 = 463,728 : x
  2. Step 2: Convert to fraction form
    315,296/463,728 = 463,728/x
  3. Step 3: Cross multiply
    315,296x = 463,728 × 463,728
  4. Step 4: Simplify right side
    315,296x = 215,043,657,984
  5. Step 5: Solve for x
    x = 215,043,657,984/315,296
  6. Step 6: Final answer
    x = 682,037.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.