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Finding the Third Proportional to 121,010 and 169,257

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Solution

The third proportional to 121,010 and 169,257 is: 236,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,010 : 169,257 = 169,257 : x
  2. Step 2: Convert to fraction form
    121,010/169,257 = 169,257/x
  3. Step 3: Cross multiply
    121,010x = 169,257 × 169,257
  4. Step 4: Simplify right side
    121,010x = 28,647,932,049
  5. Step 5: Solve for x
    x = 28,647,932,049/121,010
  6. Step 6: Final answer
    x = 236,740.20

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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.