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Finding the Third Proportional to 201,458 and 423,652

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Solution

The third proportional to 201,458 and 423,652 is: 890,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,458 : 423,652 = 423,652 : x
  2. Step 2: Convert to fraction form
    201,458/423,652 = 423,652/x
  3. Step 3: Cross multiply
    201,458x = 423,652 × 423,652
  4. Step 4: Simplify right side
    201,458x = 179,481,017,104
  5. Step 5: Solve for x
    x = 179,481,017,104/201,458
  6. Step 6: Final answer
    x = 890,910.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.