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Finding the Third Proportional to 201,448 and 423,628

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Solution

The third proportional to 201,448 and 423,628 is: 890,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,448 : 423,628 = 423,628 : x
  2. Step 2: Convert to fraction form
    201,448/423,628 = 423,628/x
  3. Step 3: Cross multiply
    201,448x = 423,628 × 423,628
  4. Step 4: Simplify right side
    201,448x = 179,460,682,384
  5. Step 5: Solve for x
    x = 179,460,682,384/201,448
  6. Step 6: Final answer
    x = 890,853.63

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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.