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Finding the Third Proportional to 194,215.50 and 433,629

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Solution

The third proportional to 194,215.50 and 433,629 is: 968,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,215.50 : 433,629 = 433,629 : x
  2. Step 2: Convert to fraction form
    194,215.50/433,629 = 433,629/x
  3. Step 3: Cross multiply
    194,215.50x = 433,629 × 433,629
  4. Step 4: Simplify right side
    194,215.50x = 188,034,109,641
  5. Step 5: Solve for x
    x = 188,034,109,641/194,215.50
  6. Step 6: Final answer
    x = 968,172.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.