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Finding the Third Proportional to 213,736.50 and 333,543.75

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Solution

The third proportional to 213,736.50 and 333,543.75 is: 520,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,736.50 : 333,543.75 = 333,543.75 : x
  2. Step 2: Convert to fraction form
    213,736.50/333,543.75 = 333,543.75/x
  3. Step 3: Cross multiply
    213,736.50x = 333,543.75 × 333,543.75
  4. Step 4: Simplify right side
    213,736.50x = 111,251,433,164.06
  5. Step 5: Solve for x
    x = 111,251,433,164.06/213,736.50
  6. Step 6: Final answer
    x = 520,507.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.