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Finding the Third Proportional to 425,634.75 and 890,696.25

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Solution

The third proportional to 425,634.75 and 890,696.25 is: 1,863,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,634.75 : 890,696.25 = 890,696.25 : x
  2. Step 2: Convert to fraction form
    425,634.75/890,696.25 = 890,696.25/x
  3. Step 3: Cross multiply
    425,634.75x = 890,696.25 × 890,696.25
  4. Step 4: Simplify right side
    425,634.75x = 793,339,809,764.06
  5. Step 5: Solve for x
    x = 793,339,809,764.06/425,634.75
  6. Step 6: Final answer
    x = 1,863,898.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.