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Finding the Third Proportional to 77,110.50 and 115,026

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Solution

The third proportional to 77,110.50 and 115,026 is: 171,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110.50 : 115,026 = 115,026 : x
  2. Step 2: Convert to fraction form
    77,110.50/115,026 = 115,026/x
  3. Step 3: Cross multiply
    77,110.50x = 115,026 × 115,026
  4. Step 4: Simplify right side
    77,110.50x = 13,230,980,676
  5. Step 5: Solve for x
    x = 13,230,980,676/77,110.50
  6. Step 6: Final answer
    x = 171,584.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.