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Finding the Third Proportional to 63,483.75 and 135,405

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Solution

The third proportional to 63,483.75 and 135,405 is: 288,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,483.75 : 135,405 = 135,405 : x
  2. Step 2: Convert to fraction form
    63,483.75/135,405 = 135,405/x
  3. Step 3: Cross multiply
    63,483.75x = 135,405 × 135,405
  4. Step 4: Simplify right side
    63,483.75x = 18,334,514,025
  5. Step 5: Solve for x
    x = 18,334,514,025/63,483.75
  6. Step 6: Final answer
    x = 288,806.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.