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Finding the Third Proportional to 120,760 and 257,112

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Solution

The third proportional to 120,760 and 257,112 is: 547,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,760 : 257,112 = 257,112 : x
  2. Step 2: Convert to fraction form
    120,760/257,112 = 257,112/x
  3. Step 3: Cross multiply
    120,760x = 257,112 × 257,112
  4. Step 4: Simplify right side
    120,760x = 66,106,580,544
  5. Step 5: Solve for x
    x = 66,106,580,544/120,760
  6. Step 6: Final answer
    x = 547,421.17

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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.