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Finding the Third Proportional to 77,416.50 and 113,137.50

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Solution

The third proportional to 77,416.50 and 113,137.50 is: 165,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,416.50 : 113,137.50 = 113,137.50 : x
  2. Step 2: Convert to fraction form
    77,416.50/113,137.50 = 113,137.50/x
  3. Step 3: Cross multiply
    77,416.50x = 113,137.50 × 113,137.50
  4. Step 4: Simplify right side
    77,416.50x = 12,800,093,906.25
  5. Step 5: Solve for x
    x = 12,800,093,906.25/77,416.50
  6. Step 6: Final answer
    x = 165,340.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.