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Finding the Third Proportional to 230,402.25 and 505,089

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Solution

The third proportional to 230,402.25 and 505,089 is: 1,107,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,402.25 : 505,089 = 505,089 : x
  2. Step 2: Convert to fraction form
    230,402.25/505,089 = 505,089/x
  3. Step 3: Cross multiply
    230,402.25x = 505,089 × 505,089
  4. Step 4: Simplify right side
    230,402.25x = 255,114,897,921
  5. Step 5: Solve for x
    x = 255,114,897,921/230,402.25
  6. Step 6: Final answer
    x = 1,107,258.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.