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Finding the Third Proportional to 72,040 and 109,052

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Solution

The third proportional to 72,040 and 109,052 is: 165,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,040 : 109,052 = 109,052 : x
  2. Step 2: Convert to fraction form
    72,040/109,052 = 109,052/x
  3. Step 3: Cross multiply
    72,040x = 109,052 × 109,052
  4. Step 4: Simplify right side
    72,040x = 11,892,338,704
  5. Step 5: Solve for x
    x = 11,892,338,704/72,040
  6. Step 6: Final answer
    x = 165,079.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.