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Finding the Third Proportional to 102,540 and 223,032

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Solution

The third proportional to 102,540 and 223,032 is: 485,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540 : 223,032 = 223,032 : x
  2. Step 2: Convert to fraction form
    102,540/223,032 = 223,032/x
  3. Step 3: Cross multiply
    102,540x = 223,032 × 223,032
  4. Step 4: Simplify right side
    102,540x = 49,743,273,024
  5. Step 5: Solve for x
    x = 49,743,273,024/102,540
  6. Step 6: Final answer
    x = 485,110.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.