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Finding the Third Proportional to 40,040 and 53,722

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Solution

The third proportional to 40,040 and 53,722 is: 72,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,040 : 53,722 = 53,722 : x
  2. Step 2: Convert to fraction form
    40,040/53,722 = 53,722/x
  3. Step 3: Cross multiply
    40,040x = 53,722 × 53,722
  4. Step 4: Simplify right side
    40,040x = 2,886,053,284
  5. Step 5: Solve for x
    x = 2,886,053,284/40,040
  6. Step 6: Final answer
    x = 72,079.25

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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.