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Finding the Third Proportional to 200,690 and 434,462

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Solution

The third proportional to 200,690 and 434,462 is: 940,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,690 : 434,462 = 434,462 : x
  2. Step 2: Convert to fraction form
    200,690/434,462 = 434,462/x
  3. Step 3: Cross multiply
    200,690x = 434,462 × 434,462
  4. Step 4: Simplify right side
    200,690x = 188,757,229,444
  5. Step 5: Solve for x
    x = 188,757,229,444/200,690
  6. Step 6: Final answer
    x = 940,541.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.