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Finding the Third Proportional to 129,161 and 189,498

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Solution

The third proportional to 129,161 and 189,498 is: 278,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,161 : 189,498 = 189,498 : x
  2. Step 2: Convert to fraction form
    129,161/189,498 = 189,498/x
  3. Step 3: Cross multiply
    129,161x = 189,498 × 189,498
  4. Step 4: Simplify right side
    129,161x = 35,909,492,004
  5. Step 5: Solve for x
    x = 35,909,492,004/129,161
  6. Step 6: Final answer
    x = 278,021.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.