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Finding the Third Proportional to 89,334 and 121,321

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Solution

The third proportional to 89,334 and 121,321 is: 164,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,334 : 121,321 = 121,321 : x
  2. Step 2: Convert to fraction form
    89,334/121,321 = 121,321/x
  3. Step 3: Cross multiply
    89,334x = 121,321 × 121,321
  4. Step 4: Simplify right side
    89,334x = 14,718,785,041
  5. Step 5: Solve for x
    x = 14,718,785,041/89,334
  6. Step 6: Final answer
    x = 164,761.29

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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.