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Finding the Third Proportional to 261,225 and 533,520

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Solution

The third proportional to 261,225 and 533,520 is: 1,089,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,225 : 533,520 = 533,520 : x
  2. Step 2: Convert to fraction form
    261,225/533,520 = 533,520/x
  3. Step 3: Cross multiply
    261,225x = 533,520 × 533,520
  4. Step 4: Simplify right side
    261,225x = 284,643,590,400
  5. Step 5: Solve for x
    x = 284,643,590,400/261,225
  6. Step 6: Final answer
    x = 1,089,649.12

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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.