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Finding the Third Proportional to 62,370 and 135,405

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Solution

The third proportional to 62,370 and 135,405 is: 293,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,370 : 135,405 = 135,405 : x
  2. Step 2: Convert to fraction form
    62,370/135,405 = 135,405/x
  3. Step 3: Cross multiply
    62,370x = 135,405 × 135,405
  4. Step 4: Simplify right side
    62,370x = 18,334,514,025
  5. Step 5: Solve for x
    x = 18,334,514,025/62,370
  6. Step 6: Final answer
    x = 293,963.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.