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Finding the Third Proportional to 89,290 and 121,267

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Solution

The third proportional to 89,290 and 121,267 is: 164,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,290 : 121,267 = 121,267 : x
  2. Step 2: Convert to fraction form
    89,290/121,267 = 121,267/x
  3. Step 3: Cross multiply
    89,290x = 121,267 × 121,267
  4. Step 4: Simplify right side
    89,290x = 14,705,685,289
  5. Step 5: Solve for x
    x = 14,705,685,289/89,290
  6. Step 6: Final answer
    x = 164,695.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.