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Finding the Third Proportional to 208,110 and 448,614.75

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Solution

The third proportional to 208,110 and 448,614.75 is: 967,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,110 : 448,614.75 = 448,614.75 : x
  2. Step 2: Convert to fraction form
    208,110/448,614.75 = 448,614.75/x
  3. Step 3: Cross multiply
    208,110x = 448,614.75 × 448,614.75
  4. Step 4: Simplify right side
    208,110x = 201,255,193,917.56
  5. Step 5: Solve for x
    x = 201,255,193,917.56/208,110
  6. Step 6: Final answer
    x = 967,061.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.