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Finding the Third Proportional to 89,558 and 121,197

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Solution

The third proportional to 89,558 and 121,197 is: 164,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,558 : 121,197 = 121,197 : x
  2. Step 2: Convert to fraction form
    89,558/121,197 = 121,197/x
  3. Step 3: Cross multiply
    89,558x = 121,197 × 121,197
  4. Step 4: Simplify right side
    89,558x = 14,688,712,809
  5. Step 5: Solve for x
    x = 14,688,712,809/89,558
  6. Step 6: Final answer
    x = 164,013.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.