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Finding the Third Proportional to 211,069.50 and 430,734

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Solution

The third proportional to 211,069.50 and 430,734 is: 879,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,069.50 : 430,734 = 430,734 : x
  2. Step 2: Convert to fraction form
    211,069.50/430,734 = 430,734/x
  3. Step 3: Cross multiply
    211,069.50x = 430,734 × 430,734
  4. Step 4: Simplify right side
    211,069.50x = 185,531,778,756
  5. Step 5: Solve for x
    x = 185,531,778,756/211,069.50
  6. Step 6: Final answer
    x = 879,008.00

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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.