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Finding the Third Proportional to 353,104 and 771,811

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Solution

The third proportional to 353,104 and 771,811 is: 1,687,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,104 : 771,811 = 771,811 : x
  2. Step 2: Convert to fraction form
    353,104/771,811 = 771,811/x
  3. Step 3: Cross multiply
    353,104x = 771,811 × 771,811
  4. Step 4: Simplify right side
    353,104x = 595,692,219,721
  5. Step 5: Solve for x
    x = 595,692,219,721/353,104
  6. Step 6: Final answer
    x = 1,687,016.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.