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Finding the Third Proportional to 211,114.50 and 430,824

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Solution

The third proportional to 211,114.50 and 430,824 is: 879,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,114.50 : 430,824 = 430,824 : x
  2. Step 2: Convert to fraction form
    211,114.50/430,824 = 430,824/x
  3. Step 3: Cross multiply
    211,114.50x = 430,824 × 430,824
  4. Step 4: Simplify right side
    211,114.50x = 185,609,318,976
  5. Step 5: Solve for x
    x = 185,609,318,976/211,114.50
  6. Step 6: Final answer
    x = 879,187.92

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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.