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Finding the Third Proportional to 35,543 and 53,405

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Solution

The third proportional to 35,543 and 53,405 is: 80,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,543 : 53,405 = 53,405 : x
  2. Step 2: Convert to fraction form
    35,543/53,405 = 53,405/x
  3. Step 3: Cross multiply
    35,543x = 53,405 × 53,405
  4. Step 4: Simplify right side
    35,543x = 2,852,094,025
  5. Step 5: Solve for x
    x = 2,852,094,025/35,543
  6. Step 6: Final answer
    x = 80,243.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.