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Finding the Third Proportional to 63,580.50 and 132,405

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Solution

The third proportional to 63,580.50 and 132,405 is: 275,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,580.50 : 132,405 = 132,405 : x
  2. Step 2: Convert to fraction form
    63,580.50/132,405 = 132,405/x
  3. Step 3: Cross multiply
    63,580.50x = 132,405 × 132,405
  4. Step 4: Simplify right side
    63,580.50x = 17,531,084,025
  5. Step 5: Solve for x
    x = 17,531,084,025/63,580.50
  6. Step 6: Final answer
    x = 275,730.52

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