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Finding the Third Proportional to 315,634 and 679,388

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Solution

The third proportional to 315,634 and 679,388 is: 1,462,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,634 : 679,388 = 679,388 : x
  2. Step 2: Convert to fraction form
    315,634/679,388 = 679,388/x
  3. Step 3: Cross multiply
    315,634x = 679,388 × 679,388
  4. Step 4: Simplify right side
    315,634x = 461,568,054,544
  5. Step 5: Solve for x
    x = 461,568,054,544/315,634
  6. Step 6: Final answer
    x = 1,462,352.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.