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Finding the Third Proportional to 312,003 and 673,818

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Solution

The third proportional to 312,003 and 673,818 is: 1,455,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,003 : 673,818 = 673,818 : x
  2. Step 2: Convert to fraction form
    312,003/673,818 = 673,818/x
  3. Step 3: Cross multiply
    312,003x = 673,818 × 673,818
  4. Step 4: Simplify right side
    312,003x = 454,030,697,124
  5. Step 5: Solve for x
    x = 454,030,697,124/312,003
  6. Step 6: Final answer
    x = 1,455,212.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.