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Finding the Third Proportional to 46,780 and 103,406

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Solution

The third proportional to 46,780 and 103,406 is: 228,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,780 : 103,406 = 103,406 : x
  2. Step 2: Convert to fraction form
    46,780/103,406 = 103,406/x
  3. Step 3: Cross multiply
    46,780x = 103,406 × 103,406
  4. Step 4: Simplify right side
    46,780x = 10,692,800,836
  5. Step 5: Solve for x
    x = 10,692,800,836/46,780
  6. Step 6: Final answer
    x = 228,576.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.