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Finding the Third Proportional to 213,648 and 335,138

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Solution

The third proportional to 213,648 and 335,138 is: 525,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,648 : 335,138 = 335,138 : x
  2. Step 2: Convert to fraction form
    213,648/335,138 = 335,138/x
  3. Step 3: Cross multiply
    213,648x = 335,138 × 335,138
  4. Step 4: Simplify right side
    213,648x = 112,317,479,044
  5. Step 5: Solve for x
    x = 112,317,479,044/213,648
  6. Step 6: Final answer
    x = 525,712.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.