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Finding the Third Proportional to 156,051.75 and 204,033

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Solution

The third proportional to 156,051.75 and 204,033 is: 266,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,051.75 : 204,033 = 204,033 : x
  2. Step 2: Convert to fraction form
    156,051.75/204,033 = 204,033/x
  3. Step 3: Cross multiply
    156,051.75x = 204,033 × 204,033
  4. Step 4: Simplify right side
    156,051.75x = 41,629,465,089
  5. Step 5: Solve for x
    x = 41,629,465,089/156,051.75
  6. Step 6: Final answer
    x = 266,767.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.