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Finding the Third Proportional to 3,783,105 and 5,308,446.38

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Solution

The third proportional to 3,783,105 and 5,308,446.38 is: 7,448,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,105 : 5,308,446.38 = 5,308,446.38 : x
  2. Step 2: Convert to fraction form
    3,783,105/5,308,446.38 = 5,308,446.38/x
  3. Step 3: Cross multiply
    3,783,105x = 5,308,446.38 × 5,308,446.38
  4. Step 4: Simplify right side
    3,783,105x = 28,179,602,916,250.64
  5. Step 5: Solve for x
    x = 28,179,602,916,250.64/3,783,105
  6. Step 6: Final answer
    x = 7,448,802.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.