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Finding the Third Proportional to 74,051.72 and 105,821.44

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Solution

The third proportional to 74,051.72 and 105,821.44 is: 151,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,051.72 : 105,821.44 = 105,821.44 : x
  2. Step 2: Convert to fraction form
    74,051.72/105,821.44 = 105,821.44/x
  3. Step 3: Cross multiply
    74,051.72x = 105,821.44 × 105,821.44
  4. Step 4: Simplify right side
    74,051.72x = 11,198,176,634.57
  5. Step 5: Solve for x
    x = 11,198,176,634.57/74,051.72
  6. Step 6: Final answer
    x = 151,221.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.