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Finding the Third Proportional to 120,680 and 257,388

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Solution

The third proportional to 120,680 and 257,388 is: 548,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,680 : 257,388 = 257,388 : x
  2. Step 2: Convert to fraction form
    120,680/257,388 = 257,388/x
  3. Step 3: Cross multiply
    120,680x = 257,388 × 257,388
  4. Step 4: Simplify right side
    120,680x = 66,248,582,544
  5. Step 5: Solve for x
    x = 66,248,582,544/120,680
  6. Step 6: Final answer
    x = 548,960.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.