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Finding the Third Proportional to 212,589.56 and 329,153.63

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Solution

The third proportional to 212,589.56 and 329,153.63 is: 509,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,589.56 : 329,153.63 = 329,153.63 : x
  2. Step 2: Convert to fraction form
    212,589.56/329,153.63 = 329,153.63/x
  3. Step 3: Cross multiply
    212,589.56x = 329,153.63 × 329,153.63
  4. Step 4: Simplify right side
    212,589.56x = 108,342,108,850.64
  5. Step 5: Solve for x
    x = 108,342,108,850.64/212,589.56
  6. Step 6: Final answer
    x = 509,630.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.