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Finding the Third Proportional to 111,555 and 156,033

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Solution

The third proportional to 111,555 and 156,033 is: 218,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,555 : 156,033 = 156,033 : x
  2. Step 2: Convert to fraction form
    111,555/156,033 = 156,033/x
  3. Step 3: Cross multiply
    111,555x = 156,033 × 156,033
  4. Step 4: Simplify right side
    111,555x = 24,346,297,089
  5. Step 5: Solve for x
    x = 24,346,297,089/111,555
  6. Step 6: Final answer
    x = 218,244.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.