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Finding the Third Proportional to 128,088 and 188,817

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Solution

The third proportional to 128,088 and 188,817 is: 278,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,088 : 188,817 = 188,817 : x
  2. Step 2: Convert to fraction form
    128,088/188,817 = 188,817/x
  3. Step 3: Cross multiply
    128,088x = 188,817 × 188,817
  4. Step 4: Simplify right side
    128,088x = 35,651,859,489
  5. Step 5: Solve for x
    x = 35,651,859,489/128,088
  6. Step 6: Final answer
    x = 278,338.79

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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.