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Finding the Third Proportional to 76,302 and 110,983.50

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Solution

The third proportional to 76,302 and 110,983.50 is: 161,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302 : 110,983.50 = 110,983.50 : x
  2. Step 2: Convert to fraction form
    76,302/110,983.50 = 110,983.50/x
  3. Step 3: Cross multiply
    76,302x = 110,983.50 × 110,983.50
  4. Step 4: Simplify right side
    76,302x = 12,317,337,272.25
  5. Step 5: Solve for x
    x = 12,317,337,272.25/76,302
  6. Step 6: Final answer
    x = 161,428.76

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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.