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Finding the Third Proportional to 129,447 and 174,891

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Solution

The third proportional to 129,447 and 174,891 is: 236,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,447 : 174,891 = 174,891 : x
  2. Step 2: Convert to fraction form
    129,447/174,891 = 174,891/x
  3. Step 3: Cross multiply
    129,447x = 174,891 × 174,891
  4. Step 4: Simplify right side
    129,447x = 30,586,861,881
  5. Step 5: Solve for x
    x = 30,586,861,881/129,447
  6. Step 6: Final answer
    x = 236,288.69

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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.