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Finding the Third Proportional to 120,630 and 257,825.63

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Solution

The third proportional to 120,630 and 257,825.63 is: 551,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,630 : 257,825.63 = 257,825.63 : x
  2. Step 2: Convert to fraction form
    120,630/257,825.63 = 257,825.63/x
  3. Step 3: Cross multiply
    120,630x = 257,825.63 × 257,825.63
  4. Step 4: Simplify right side
    120,630x = 66,474,052,906.64
  5. Step 5: Solve for x
    x = 66,474,052,906.64/120,630
  6. Step 6: Final answer
    x = 551,057.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.