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Finding the Third Proportional to 120,787 and 257,166

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Solution

The third proportional to 120,787 and 257,166 is: 547,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787 : 257,166 = 257,166 : x
  2. Step 2: Convert to fraction form
    120,787/257,166 = 257,166/x
  3. Step 3: Cross multiply
    120,787x = 257,166 × 257,166
  4. Step 4: Simplify right side
    120,787x = 66,134,351,556
  5. Step 5: Solve for x
    x = 66,134,351,556/120,787
  6. Step 6: Final answer
    x = 547,528.72

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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.