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Finding the Third Proportional to 211,084 and 430,780

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Solution

The third proportional to 211,084 and 430,780 is: 879,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,084 : 430,780 = 430,780 : x
  2. Step 2: Convert to fraction form
    211,084/430,780 = 430,780/x
  3. Step 3: Cross multiply
    211,084x = 430,780 × 430,780
  4. Step 4: Simplify right side
    211,084x = 185,571,408,400
  5. Step 5: Solve for x
    x = 185,571,408,400/211,084
  6. Step 6: Final answer
    x = 879,135.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.