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Finding the Third Proportional to 190,990 and 415,964

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Solution

The third proportional to 190,990 and 415,964 is: 905,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,990 : 415,964 = 415,964 : x
  2. Step 2: Convert to fraction form
    190,990/415,964 = 415,964/x
  3. Step 3: Cross multiply
    190,990x = 415,964 × 415,964
  4. Step 4: Simplify right side
    190,990x = 173,026,049,296
  5. Step 5: Solve for x
    x = 173,026,049,296/190,990
  6. Step 6: Final answer
    x = 905,942.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.