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Finding the Third Proportional to 128,999.25 and 189,707.06

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Solution

The third proportional to 128,999.25 and 189,707.06 is: 278,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,999.25 : 189,707.06 = 189,707.06 : x
  2. Step 2: Convert to fraction form
    128,999.25/189,707.06 = 189,707.06/x
  3. Step 3: Cross multiply
    128,999.25x = 189,707.06 × 189,707.06
  4. Step 4: Simplify right side
    128,999.25x = 35,988,769,562.38
  5. Step 5: Solve for x
    x = 35,988,769,562.38/128,999.25
  6. Step 6: Final answer
    x = 278,984.33

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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.