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Finding the Third Proportional to 63,900 and 133,038

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Solution

The third proportional to 63,900 and 133,038 is: 276,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,900 : 133,038 = 133,038 : x
  2. Step 2: Convert to fraction form
    63,900/133,038 = 133,038/x
  3. Step 3: Cross multiply
    63,900x = 133,038 × 133,038
  4. Step 4: Simplify right side
    63,900x = 17,699,109,444
  5. Step 5: Solve for x
    x = 17,699,109,444/63,900
  6. Step 6: Final answer
    x = 276,981.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.