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Finding the Third Proportional to 142,781.06 and 189,528.75

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Solution

The third proportional to 142,781.06 and 189,528.75 is: 251,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,781.06 : 189,528.75 = 189,528.75 : x
  2. Step 2: Convert to fraction form
    142,781.06/189,528.75 = 189,528.75/x
  3. Step 3: Cross multiply
    142,781.06x = 189,528.75 × 189,528.75
  4. Step 4: Simplify right side
    142,781.06x = 35,921,147,076.56
  5. Step 5: Solve for x
    x = 35,921,147,076.56/142,781.06
  6. Step 6: Final answer
    x = 251,582.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.