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Finding the Third Proportional to 46,619 and 73,856

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Solution

The third proportional to 46,619 and 73,856 is: 117,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,619 : 73,856 = 73,856 : x
  2. Step 2: Convert to fraction form
    46,619/73,856 = 73,856/x
  3. Step 3: Cross multiply
    46,619x = 73,856 × 73,856
  4. Step 4: Simplify right side
    46,619x = 5,454,708,736
  5. Step 5: Solve for x
    x = 5,454,708,736/46,619
  6. Step 6: Final answer
    x = 117,006.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.