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Finding the Third Proportional to 46,862 and 102,940

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Solution

The third proportional to 46,862 and 102,940 is: 226,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,862 : 102,940 = 102,940 : x
  2. Step 2: Convert to fraction form
    46,862/102,940 = 102,940/x
  3. Step 3: Cross multiply
    46,862x = 102,940 × 102,940
  4. Step 4: Simplify right side
    46,862x = 10,596,643,600
  5. Step 5: Solve for x
    x = 10,596,643,600/46,862
  6. Step 6: Final answer
    x = 226,124.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.