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Finding the Third Proportional to 219,319 and 471,272

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Solution

The third proportional to 219,319 and 471,272 is: 1,012,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,319 : 471,272 = 471,272 : x
  2. Step 2: Convert to fraction form
    219,319/471,272 = 471,272/x
  3. Step 3: Cross multiply
    219,319x = 471,272 × 471,272
  4. Step 4: Simplify right side
    219,319x = 222,097,297,984
  5. Step 5: Solve for x
    x = 222,097,297,984/219,319
  6. Step 6: Final answer
    x = 1,012,667.84

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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.