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Finding the Third Proportional to 46,856 and 102,831

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Solution

The third proportional to 46,856 and 102,831 is: 225,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,856 : 102,831 = 102,831 : x
  2. Step 2: Convert to fraction form
    46,856/102,831 = 102,831/x
  3. Step 3: Cross multiply
    46,856x = 102,831 × 102,831
  4. Step 4: Simplify right side
    46,856x = 10,574,214,561
  5. Step 5: Solve for x
    x = 10,574,214,561/46,856
  6. Step 6: Final answer
    x = 225,674.72

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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.