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Finding the Third Proportional to 211,106.25 and 430,805.25

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Solution

The third proportional to 211,106.25 and 430,805.25 is: 879,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,106.25 : 430,805.25 = 430,805.25 : x
  2. Step 2: Convert to fraction form
    211,106.25/430,805.25 = 430,805.25/x
  3. Step 3: Cross multiply
    211,106.25x = 430,805.25 × 430,805.25
  4. Step 4: Simplify right side
    211,106.25x = 185,593,163,427.56
  5. Step 5: Solve for x
    x = 185,593,163,427.56/211,106.25
  6. Step 6: Final answer
    x = 879,145.75

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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.