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Finding the Third Proportional to 132,554.81 and 280,463.34

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Solution

The third proportional to 132,554.81 and 280,463.34 is: 593,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,554.81 : 280,463.34 = 280,463.34 : x
  2. Step 2: Convert to fraction form
    132,554.81/280,463.34 = 280,463.34/x
  3. Step 3: Cross multiply
    132,554.81x = 280,463.34 × 280,463.34
  4. Step 4: Simplify right side
    132,554.81x = 78,659,687,187.43
  5. Step 5: Solve for x
    x = 78,659,687,187.43/132,554.81
  6. Step 6: Final answer
    x = 593,412.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.