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Finding the Third Proportional to 395,478 and 612,876

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Solution

The third proportional to 395,478 and 612,876 is: 949,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,478 : 612,876 = 612,876 : x
  2. Step 2: Convert to fraction form
    395,478/612,876 = 612,876/x
  3. Step 3: Cross multiply
    395,478x = 612,876 × 612,876
  4. Step 4: Simplify right side
    395,478x = 375,616,991,376
  5. Step 5: Solve for x
    x = 375,616,991,376/395,478
  6. Step 6: Final answer
    x = 949,779.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.