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Finding the Third Proportional to 315,876 and 675,168

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Solution

The third proportional to 315,876 and 675,168 is: 1,443,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,876 : 675,168 = 675,168 : x
  2. Step 2: Convert to fraction form
    315,876/675,168 = 675,168/x
  3. Step 3: Cross multiply
    315,876x = 675,168 × 675,168
  4. Step 4: Simplify right side
    315,876x = 455,851,828,224
  5. Step 5: Solve for x
    x = 455,851,828,224/315,876
  6. Step 6: Final answer
    x = 1,443,135.37

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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.