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Finding the Third Proportional to 315,986 and 676,444

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Solution

The third proportional to 315,986 and 676,444 is: 1,448,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,986 : 676,444 = 676,444 : x
  2. Step 2: Convert to fraction form
    315,986/676,444 = 676,444/x
  3. Step 3: Cross multiply
    315,986x = 676,444 × 676,444
  4. Step 4: Simplify right side
    315,986x = 457,576,485,136
  5. Step 5: Solve for x
    x = 457,576,485,136/315,986
  6. Step 6: Final answer
    x = 1,448,091.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.