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Finding the Third Proportional to 228,386.25 and 490,434.75

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Solution

The third proportional to 228,386.25 and 490,434.75 is: 1,053,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,386.25 : 490,434.75 = 490,434.75 : x
  2. Step 2: Convert to fraction form
    228,386.25/490,434.75 = 490,434.75/x
  3. Step 3: Cross multiply
    228,386.25x = 490,434.75 × 490,434.75
  4. Step 4: Simplify right side
    228,386.25x = 240,526,244,007.56
  5. Step 5: Solve for x
    x = 240,526,244,007.56/228,386.25
  6. Step 6: Final answer
    x = 1,053,155.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.