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Finding the Third Proportional to 228,258 and 343,077

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Solution

The third proportional to 228,258 and 343,077 is: 515,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,258 : 343,077 = 343,077 : x
  2. Step 2: Convert to fraction form
    228,258/343,077 = 343,077/x
  3. Step 3: Cross multiply
    228,258x = 343,077 × 343,077
  4. Step 4: Simplify right side
    228,258x = 117,701,827,929
  5. Step 5: Solve for x
    x = 117,701,827,929/228,258
  6. Step 6: Final answer
    x = 515,652.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.