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Finding the Third Proportional to 395,458 and 612,847

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Solution

The third proportional to 395,458 and 612,847 is: 949,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,458 : 612,847 = 612,847 : x
  2. Step 2: Convert to fraction form
    395,458/612,847 = 612,847/x
  3. Step 3: Cross multiply
    395,458x = 612,847 × 612,847
  4. Step 4: Simplify right side
    395,458x = 375,581,445,409
  5. Step 5: Solve for x
    x = 375,581,445,409/395,458
  6. Step 6: Final answer
    x = 949,737.89

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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.