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Finding the Third Proportional to 89,688 and 121,857

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Solution

The third proportional to 89,688 and 121,857 is: 165,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,688 : 121,857 = 121,857 : x
  2. Step 2: Convert to fraction form
    89,688/121,857 = 121,857/x
  3. Step 3: Cross multiply
    89,688x = 121,857 × 121,857
  4. Step 4: Simplify right side
    89,688x = 14,849,128,449
  5. Step 5: Solve for x
    x = 14,849,128,449/89,688
  6. Step 6: Final answer
    x = 165,564.27

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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.