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Finding the Third Proportional to 261,221 and 533,511

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Solution

The third proportional to 261,221 and 533,511 is: 1,089,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,221 : 533,511 = 533,511 : x
  2. Step 2: Convert to fraction form
    261,221/533,511 = 533,511/x
  3. Step 3: Cross multiply
    261,221x = 533,511 × 533,511
  4. Step 4: Simplify right side
    261,221x = 284,633,987,121
  5. Step 5: Solve for x
    x = 284,633,987,121/261,221
  6. Step 6: Final answer
    x = 1,089,629.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.