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Finding the Third Proportional to 46,022 and 110,841

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Solution

The third proportional to 46,022 and 110,841 is: 266,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022 : 110,841 = 110,841 : x
  2. Step 2: Convert to fraction form
    46,022/110,841 = 110,841/x
  3. Step 3: Cross multiply
    46,022x = 110,841 × 110,841
  4. Step 4: Simplify right side
    46,022x = 12,285,727,281
  5. Step 5: Solve for x
    x = 12,285,727,281/46,022
  6. Step 6: Final answer
    x = 266,953.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.