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Finding the Third Proportional to 128,082 and 188,808

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Solution

The third proportional to 128,082 and 188,808 is: 278,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,082 : 188,808 = 188,808 : x
  2. Step 2: Convert to fraction form
    128,082/188,808 = 188,808/x
  3. Step 3: Cross multiply
    128,082x = 188,808 × 188,808
  4. Step 4: Simplify right side
    128,082x = 35,648,460,864
  5. Step 5: Solve for x
    x = 35,648,460,864/128,082
  6. Step 6: Final answer
    x = 278,325.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.