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Finding the Third Proportional to 52,100.72 and 109,623.38

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Solution

The third proportional to 52,100.72 and 109,623.38 is: 230,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,100.72 : 109,623.38 = 109,623.38 : x
  2. Step 2: Convert to fraction form
    52,100.72/109,623.38 = 109,623.38/x
  3. Step 3: Cross multiply
    52,100.72x = 109,623.38 × 109,623.38
  4. Step 4: Simplify right side
    52,100.72x = 12,017,284,346.39
  5. Step 5: Solve for x
    x = 12,017,284,346.39/52,100.72
  6. Step 6: Final answer
    x = 230,654.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.