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Finding the Third Proportional to 212,688.75 and 435,067.50

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Solution

The third proportional to 212,688.75 and 435,067.50 is: 889,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,688.75 : 435,067.50 = 435,067.50 : x
  2. Step 2: Convert to fraction form
    212,688.75/435,067.50 = 435,067.50/x
  3. Step 3: Cross multiply
    212,688.75x = 435,067.50 × 435,067.50
  4. Step 4: Simplify right side
    212,688.75x = 189,283,729,556.25
  5. Step 5: Solve for x
    x = 189,283,729,556.25/212,688.75
  6. Step 6: Final answer
    x = 889,956.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.