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Finding the Third Proportional to 121,834 and 254,684

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Solution

The third proportional to 121,834 and 254,684 is: 532,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,834 : 254,684 = 254,684 : x
  2. Step 2: Convert to fraction form
    121,834/254,684 = 254,684/x
  3. Step 3: Cross multiply
    121,834x = 254,684 × 254,684
  4. Step 4: Simplify right side
    121,834x = 64,863,939,856
  5. Step 5: Solve for x
    x = 64,863,939,856/121,834
  6. Step 6: Final answer
    x = 532,396.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.