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Finding the Third Proportional to 40,140 and 53,622

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Solution

The third proportional to 40,140 and 53,622 is: 71,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,140 : 53,622 = 53,622 : x
  2. Step 2: Convert to fraction form
    40,140/53,622 = 53,622/x
  3. Step 3: Cross multiply
    40,140x = 53,622 × 53,622
  4. Step 4: Simplify right side
    40,140x = 2,875,318,884
  5. Step 5: Solve for x
    x = 2,875,318,884/40,140
  6. Step 6: Final answer
    x = 71,632.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.