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Finding the Third Proportional to 89,728 and 121,911

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Solution

The third proportional to 89,728 and 121,911 is: 165,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728 : 121,911 = 121,911 : x
  2. Step 2: Convert to fraction form
    89,728/121,911 = 121,911/x
  3. Step 3: Cross multiply
    89,728x = 121,911 × 121,911
  4. Step 4: Simplify right side
    89,728x = 14,862,291,921
  5. Step 5: Solve for x
    x = 14,862,291,921/89,728
  6. Step 6: Final answer
    x = 165,637.17

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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.