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Finding the Third Proportional to 120,572 and 261,232

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Solution

The third proportional to 120,572 and 261,232 is: 565,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,572 : 261,232 = 261,232 : x
  2. Step 2: Convert to fraction form
    120,572/261,232 = 261,232/x
  3. Step 3: Cross multiply
    120,572x = 261,232 × 261,232
  4. Step 4: Simplify right side
    120,572x = 68,242,157,824
  5. Step 5: Solve for x
    x = 68,242,157,824/120,572
  6. Step 6: Final answer
    x = 565,986.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.