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Finding the Third Proportional to 219,235 and 472,308

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Solution

The third proportional to 219,235 and 472,308 is: 1,017,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,235 : 472,308 = 472,308 : x
  2. Step 2: Convert to fraction form
    219,235/472,308 = 472,308/x
  3. Step 3: Cross multiply
    219,235x = 472,308 × 472,308
  4. Step 4: Simplify right side
    219,235x = 223,074,846,864
  5. Step 5: Solve for x
    x = 223,074,846,864/219,235
  6. Step 6: Final answer
    x = 1,017,514.75

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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.