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Finding the Third Proportional to 86,184 and 128,757.50

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Solution

The third proportional to 86,184 and 128,757.50 is: 192,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,184 : 128,757.50 = 128,757.50 : x
  2. Step 2: Convert to fraction form
    86,184/128,757.50 = 128,757.50/x
  3. Step 3: Cross multiply
    86,184x = 128,757.50 × 128,757.50
  4. Step 4: Simplify right side
    86,184x = 16,578,493,806.25
  5. Step 5: Solve for x
    x = 16,578,493,806.25/86,184
  6. Step 6: Final answer
    x = 192,361.62

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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.