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Finding the Third Proportional to 219,285 and 472,407

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Solution

The third proportional to 219,285 and 472,407 is: 1,017,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,285 : 472,407 = 472,407 : x
  2. Step 2: Convert to fraction form
    219,285/472,407 = 472,407/x
  3. Step 3: Cross multiply
    219,285x = 472,407 × 472,407
  4. Step 4: Simplify right side
    219,285x = 223,168,373,649
  5. Step 5: Solve for x
    x = 223,168,373,649/219,285
  6. Step 6: Final answer
    x = 1,017,709.25

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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.