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Finding the Third Proportional to 80,044 and 115,933

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Solution

The third proportional to 80,044 and 115,933 is: 167,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,044 : 115,933 = 115,933 : x
  2. Step 2: Convert to fraction form
    80,044/115,933 = 115,933/x
  3. Step 3: Cross multiply
    80,044x = 115,933 × 115,933
  4. Step 4: Simplify right side
    80,044x = 13,440,460,489
  5. Step 5: Solve for x
    x = 13,440,460,489/80,044
  6. Step 6: Final answer
    x = 167,913.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.