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Finding the Third Proportional to 74,120 and 100,704

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Solution

The third proportional to 74,120 and 100,704 is: 136,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,120 : 100,704 = 100,704 : x
  2. Step 2: Convert to fraction form
    74,120/100,704 = 100,704/x
  3. Step 3: Cross multiply
    74,120x = 100,704 × 100,704
  4. Step 4: Simplify right side
    74,120x = 10,141,295,616
  5. Step 5: Solve for x
    x = 10,141,295,616/74,120
  6. Step 6: Final answer
    x = 136,822.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.