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Finding the Third Proportional to 86,170.50 and 128,741.25

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Solution

The third proportional to 86,170.50 and 128,741.25 is: 192,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,170.50 : 128,741.25 = 128,741.25 : x
  2. Step 2: Convert to fraction form
    86,170.50/128,741.25 = 128,741.25/x
  3. Step 3: Cross multiply
    86,170.50x = 128,741.25 × 128,741.25
  4. Step 4: Simplify right side
    86,170.50x = 16,574,309,451.56
  5. Step 5: Solve for x
    x = 16,574,309,451.56/86,170.50
  6. Step 6: Final answer
    x = 192,343.20

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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.