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Finding the Third Proportional to 201,504 and 423,690

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Solution

The third proportional to 201,504 and 423,690 is: 890,866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,504 : 423,690 = 423,690 : x
  2. Step 2: Convert to fraction form
    201,504/423,690 = 423,690/x
  3. Step 3: Cross multiply
    201,504x = 423,690 × 423,690
  4. Step 4: Simplify right side
    201,504x = 179,513,216,100
  5. Step 5: Solve for x
    x = 179,513,216,100/201,504
  6. Step 6: Final answer
    x = 890,866.76

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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.