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Finding the Third Proportional to 78,937.03 and 107,163

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Solution

The third proportional to 78,937.03 and 107,163 is: 145,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,937.03 : 107,163 = 107,163 : x
  2. Step 2: Convert to fraction form
    78,937.03/107,163 = 107,163/x
  3. Step 3: Cross multiply
    78,937.03x = 107,163 × 107,163
  4. Step 4: Simplify right side
    78,937.03x = 11,483,908,569
  5. Step 5: Solve for x
    x = 11,483,908,569/78,937.03
  6. Step 6: Final answer
    x = 145,481.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.