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Finding the Third Proportional to 213,655.50 and 330,813

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Solution

The third proportional to 213,655.50 and 330,813 is: 512,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,655.50 : 330,813 = 330,813 : x
  2. Step 2: Convert to fraction form
    213,655.50/330,813 = 330,813/x
  3. Step 3: Cross multiply
    213,655.50x = 330,813 × 330,813
  4. Step 4: Simplify right side
    213,655.50x = 109,437,240,969
  5. Step 5: Solve for x
    x = 109,437,240,969/213,655.50
  6. Step 6: Final answer
    x = 512,213.54

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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.