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Finding the Third Proportional to 189,920.25 and 405,264.94

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Solution

The third proportional to 189,920.25 and 405,264.94 is: 864,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,920.25 : 405,264.94 = 405,264.94 : x
  2. Step 2: Convert to fraction form
    189,920.25/405,264.94 = 405,264.94/x
  3. Step 3: Cross multiply
    189,920.25x = 405,264.94 × 405,264.94
  4. Step 4: Simplify right side
    189,920.25x = 164,239,669,566.88
  5. Step 5: Solve for x
    x = 164,239,669,566.88/189,920.25
  6. Step 6: Final answer
    x = 864,782.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.