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Finding the Third Proportional to 121,395 and 257,856

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Solution

The third proportional to 121,395 and 257,856 is: 547,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,395 : 257,856 = 257,856 : x
  2. Step 2: Convert to fraction form
    121,395/257,856 = 257,856/x
  3. Step 3: Cross multiply
    121,395x = 257,856 × 257,856
  4. Step 4: Simplify right side
    121,395x = 66,489,716,736
  5. Step 5: Solve for x
    x = 66,489,716,736/121,395
  6. Step 6: Final answer
    x = 547,713.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.