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Finding the Third Proportional to 120,354 and 260,796

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Solution

The third proportional to 120,354 and 260,796 is: 565,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,354 : 260,796 = 260,796 : x
  2. Step 2: Convert to fraction form
    120,354/260,796 = 260,796/x
  3. Step 3: Cross multiply
    120,354x = 260,796 × 260,796
  4. Step 4: Simplify right side
    120,354x = 68,014,553,616
  5. Step 5: Solve for x
    x = 68,014,553,616/120,354
  6. Step 6: Final answer
    x = 565,120.84

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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.