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Finding the Third Proportional to 219,287 and 472,411

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Solution

The third proportional to 219,287 and 472,411 is: 1,017,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,287 : 472,411 = 472,411 : x
  2. Step 2: Convert to fraction form
    219,287/472,411 = 472,411/x
  3. Step 3: Cross multiply
    219,287x = 472,411 × 472,411
  4. Step 4: Simplify right side
    219,287x = 223,172,152,921
  5. Step 5: Solve for x
    x = 223,172,152,921/219,287
  6. Step 6: Final answer
    x = 1,017,717.21

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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.