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Finding the Third Proportional to 120,936 and 261,572

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Solution

The third proportional to 120,936 and 261,572 is: 565,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,936 : 261,572 = 261,572 : x
  2. Step 2: Convert to fraction form
    120,936/261,572 = 261,572/x
  3. Step 3: Cross multiply
    120,936x = 261,572 × 261,572
  4. Step 4: Simplify right side
    120,936x = 68,419,911,184
  5. Step 5: Solve for x
    x = 68,419,911,184/120,936
  6. Step 6: Final answer
    x = 565,753.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.