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Finding the Third Proportional to 121,018 and 169,269

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Solution

The third proportional to 121,018 and 169,269 is: 236,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,018 : 169,269 = 169,269 : x
  2. Step 2: Convert to fraction form
    121,018/169,269 = 169,269/x
  3. Step 3: Cross multiply
    121,018x = 169,269 × 169,269
  4. Step 4: Simplify right side
    121,018x = 28,651,994,361
  5. Step 5: Solve for x
    x = 28,651,994,361/121,018
  6. Step 6: Final answer
    x = 236,758.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.