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Finding the Third Proportional to 203,878 and 314,722

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Solution

The third proportional to 203,878 and 314,722 is: 485,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,878 : 314,722 = 314,722 : x
  2. Step 2: Convert to fraction form
    203,878/314,722 = 314,722/x
  3. Step 3: Cross multiply
    203,878x = 314,722 × 314,722
  4. Step 4: Simplify right side
    203,878x = 99,049,937,284
  5. Step 5: Solve for x
    x = 99,049,937,284/203,878
  6. Step 6: Final answer
    x = 485,829.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.