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Finding the Third Proportional to 213,969.94 and 331,133.06

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Solution

The third proportional to 213,969.94 and 331,133.06 is: 512,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,969.94 : 331,133.06 = 331,133.06 : x
  2. Step 2: Convert to fraction form
    213,969.94/331,133.06 = 331,133.06/x
  3. Step 3: Cross multiply
    213,969.94x = 331,133.06 × 331,133.06
  4. Step 4: Simplify right side
    213,969.94x = 109,649,105,080.63
  5. Step 5: Solve for x
    x = 109,649,105,080.63/213,969.94
  6. Step 6: Final answer
    x = 512,450.98

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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.