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Finding the Third Proportional to 45,342 and 105,405

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Solution

The third proportional to 45,342 and 105,405 is: 245,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,342 : 105,405 = 105,405 : x
  2. Step 2: Convert to fraction form
    45,342/105,405 = 105,405/x
  3. Step 3: Cross multiply
    45,342x = 105,405 × 105,405
  4. Step 4: Simplify right side
    45,342x = 11,110,214,025
  5. Step 5: Solve for x
    x = 11,110,214,025/45,342
  6. Step 6: Final answer
    x = 245,031.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.