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Finding the Third Proportional to 261,217 and 533,503

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Solution

The third proportional to 261,217 and 533,503 is: 1,089,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,217 : 533,503 = 533,503 : x
  2. Step 2: Convert to fraction form
    261,217/533,503 = 533,503/x
  3. Step 3: Cross multiply
    261,217x = 533,503 × 533,503
  4. Step 4: Simplify right side
    261,217x = 284,625,451,009
  5. Step 5: Solve for x
    x = 284,625,451,009/261,217
  6. Step 6: Final answer
    x = 1,089,613.05

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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.