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Finding the Third Proportional to 138,040 and 295,766

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Solution

The third proportional to 138,040 and 295,766 is: 633,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,040 : 295,766 = 295,766 : x
  2. Step 2: Convert to fraction form
    138,040/295,766 = 295,766/x
  3. Step 3: Cross multiply
    138,040x = 295,766 × 295,766
  4. Step 4: Simplify right side
    138,040x = 87,477,526,756
  5. Step 5: Solve for x
    x = 87,477,526,756/138,040
  6. Step 6: Final answer
    x = 633,711.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.