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Finding the Third Proportional to 213,636 and 335,118

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Solution

The third proportional to 213,636 and 335,118 is: 525,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,636 : 335,118 = 335,118 : x
  2. Step 2: Convert to fraction form
    213,636/335,118 = 335,118/x
  3. Step 3: Cross multiply
    213,636x = 335,118 × 335,118
  4. Step 4: Simplify right side
    213,636x = 112,304,073,924
  5. Step 5: Solve for x
    x = 112,304,073,924/213,636
  6. Step 6: Final answer
    x = 525,679.54

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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.