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Finding the Third Proportional to 120,783 and 257,119

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Solution

The third proportional to 120,783 and 257,119 is: 547,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783 : 257,119 = 257,119 : x
  2. Step 2: Convert to fraction form
    120,783/257,119 = 257,119/x
  3. Step 3: Cross multiply
    120,783x = 257,119 × 257,119
  4. Step 4: Simplify right side
    120,783x = 66,110,180,161
  5. Step 5: Solve for x
    x = 66,110,180,161/120,783
  6. Step 6: Final answer
    x = 547,346.73

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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.