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Finding the Third Proportional to 121,941 and 257,166

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Solution

The third proportional to 121,941 and 257,166 is: 542,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,941 : 257,166 = 257,166 : x
  2. Step 2: Convert to fraction form
    121,941/257,166 = 257,166/x
  3. Step 3: Cross multiply
    121,941x = 257,166 × 257,166
  4. Step 4: Simplify right side
    121,941x = 66,134,351,556
  5. Step 5: Solve for x
    x = 66,134,351,556/121,941
  6. Step 6: Final answer
    x = 542,347.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.