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Finding the Third Proportional to 121,164 and 283,019

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Solution

The third proportional to 121,164 and 283,019 is: 661,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,164 : 283,019 = 283,019 : x
  2. Step 2: Convert to fraction form
    121,164/283,019 = 283,019/x
  3. Step 3: Cross multiply
    121,164x = 283,019 × 283,019
  4. Step 4: Simplify right side
    121,164x = 80,099,754,361
  5. Step 5: Solve for x
    x = 80,099,754,361/121,164
  6. Step 6: Final answer
    x = 661,085.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.