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Finding the Third Proportional to 201,570 and 422,580

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Solution

The third proportional to 201,570 and 422,580 is: 885,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,570 : 422,580 = 422,580 : x
  2. Step 2: Convert to fraction form
    201,570/422,580 = 422,580/x
  3. Step 3: Cross multiply
    201,570x = 422,580 × 422,580
  4. Step 4: Simplify right side
    201,570x = 178,573,856,400
  5. Step 5: Solve for x
    x = 178,573,856,400/201,570
  6. Step 6: Final answer
    x = 885,914.85

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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.