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Finding the Third Proportional to 132,532.50 and 276,243

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Solution

The third proportional to 132,532.50 and 276,243 is: 575,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,532.50 : 276,243 = 276,243 : x
  2. Step 2: Convert to fraction form
    132,532.50/276,243 = 276,243/x
  3. Step 3: Cross multiply
    132,532.50x = 276,243 × 276,243
  4. Step 4: Simplify right side
    132,532.50x = 76,310,195,049
  5. Step 5: Solve for x
    x = 76,310,195,049/132,532.50
  6. Step 6: Final answer
    x = 575,784.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.