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Finding the Third Proportional to 295,406 and 445,818

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Solution

The third proportional to 295,406 and 445,818 is: 672,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,406 : 445,818 = 445,818 : x
  2. Step 2: Convert to fraction form
    295,406/445,818 = 445,818/x
  3. Step 3: Cross multiply
    295,406x = 445,818 × 445,818
  4. Step 4: Simplify right side
    295,406x = 198,753,689,124
  5. Step 5: Solve for x
    x = 198,753,689,124/295,406
  6. Step 6: Final answer
    x = 672,815.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.