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Finding the Third Proportional to 203,048 and 445,584

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Solution

The third proportional to 203,048 and 445,584 is: 977,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,048 : 445,584 = 445,584 : x
  2. Step 2: Convert to fraction form
    203,048/445,584 = 445,584/x
  3. Step 3: Cross multiply
    203,048x = 445,584 × 445,584
  4. Step 4: Simplify right side
    203,048x = 198,545,101,056
  5. Step 5: Solve for x
    x = 198,545,101,056/203,048
  6. Step 6: Final answer
    x = 977,823.48

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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.