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Finding the Third Proportional to 120,356 and 168,257

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Solution

The third proportional to 120,356 and 168,257 is: 235,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356 : 168,257 = 168,257 : x
  2. Step 2: Convert to fraction form
    120,356/168,257 = 168,257/x
  3. Step 3: Cross multiply
    120,356x = 168,257 × 168,257
  4. Step 4: Simplify right side
    120,356x = 28,310,418,049
  5. Step 5: Solve for x
    x = 28,310,418,049/120,356
  6. Step 6: Final answer
    x = 235,222.32

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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.