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Finding the Third Proportional to 46,078 and 100,918

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Solution

The third proportional to 46,078 and 100,918 is: 221,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,078 : 100,918 = 100,918 : x
  2. Step 2: Convert to fraction form
    46,078/100,918 = 100,918/x
  3. Step 3: Cross multiply
    46,078x = 100,918 × 100,918
  4. Step 4: Simplify right side
    46,078x = 10,184,442,724
  5. Step 5: Solve for x
    x = 10,184,442,724/46,078
  6. Step 6: Final answer
    x = 221,026.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.