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Finding the Third Proportional to 421,788.38 and 923,673.75

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Solution

The third proportional to 421,788.38 and 923,673.75 is: 2,022,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,788.38 : 923,673.75 = 923,673.75 : x
  2. Step 2: Convert to fraction form
    421,788.38/923,673.75 = 923,673.75/x
  3. Step 3: Cross multiply
    421,788.38x = 923,673.75 × 923,673.75
  4. Step 4: Simplify right side
    421,788.38x = 853,173,196,439.06
  5. Step 5: Solve for x
    x = 853,173,196,439.06/421,788.38
  6. Step 6: Final answer
    x = 2,022,751.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.