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Finding the Third Proportional to 219,040.50 and 475,448

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Solution

The third proportional to 219,040.50 and 475,448 is: 1,032,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,040.50 : 475,448 = 475,448 : x
  2. Step 2: Convert to fraction form
    219,040.50/475,448 = 475,448/x
  3. Step 3: Cross multiply
    219,040.50x = 475,448 × 475,448
  4. Step 4: Simplify right side
    219,040.50x = 226,050,800,704
  5. Step 5: Solve for x
    x = 226,050,800,704/219,040.50
  6. Step 6: Final answer
    x = 1,032,004.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.