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Finding the Third Proportional to 86,230.50 and 128,814.50

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Solution

The third proportional to 86,230.50 and 128,814.50 is: 192,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,230.50 : 128,814.50 = 128,814.50 : x
  2. Step 2: Convert to fraction form
    86,230.50/128,814.50 = 128,814.50/x
  3. Step 3: Cross multiply
    86,230.50x = 128,814.50 × 128,814.50
  4. Step 4: Simplify right side
    86,230.50x = 16,593,175,410.25
  5. Step 5: Solve for x
    x = 16,593,175,410.25/86,230.50
  6. Step 6: Final answer
    x = 192,428.15

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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.