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Finding the Third Proportional to 201,624 and 428,736

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Solution

The third proportional to 201,624 and 428,736 is: 911,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,624 : 428,736 = 428,736 : x
  2. Step 2: Convert to fraction form
    201,624/428,736 = 428,736/x
  3. Step 3: Cross multiply
    201,624x = 428,736 × 428,736
  4. Step 4: Simplify right side
    201,624x = 183,814,557,696
  5. Step 5: Solve for x
    x = 183,814,557,696/201,624
  6. Step 6: Final answer
    x = 911,670.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.