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Finding the Third Proportional to 121,511.81 and 283,879.69

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Solution

The third proportional to 121,511.81 and 283,879.69 is: 663,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,511.81 : 283,879.69 = 283,879.69 : x
  2. Step 2: Convert to fraction form
    121,511.81/283,879.69 = 283,879.69/x
  3. Step 3: Cross multiply
    121,511.81x = 283,879.69 × 283,879.69
  4. Step 4: Simplify right side
    121,511.81x = 80,587,676,975.10
  5. Step 5: Solve for x
    x = 80,587,676,975.10/121,511.81
  6. Step 6: Final answer
    x = 663,208.58

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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.