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Finding the Third Proportional to 74,420 and 111,797

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Solution

The third proportional to 74,420 and 111,797 is: 167,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,420 : 111,797 = 111,797 : x
  2. Step 2: Convert to fraction form
    74,420/111,797 = 111,797/x
  3. Step 3: Cross multiply
    74,420x = 111,797 × 111,797
  4. Step 4: Simplify right side
    74,420x = 12,498,569,209
  5. Step 5: Solve for x
    x = 12,498,569,209/74,420
  6. Step 6: Final answer
    x = 167,946.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.