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Finding the Third Proportional to 52,785 and 109,938.38

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Solution

The third proportional to 52,785 and 109,938.38 is: 228,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785 : 109,938.38 = 109,938.38 : x
  2. Step 2: Convert to fraction form
    52,785/109,938.38 = 109,938.38/x
  3. Step 3: Cross multiply
    52,785x = 109,938.38 × 109,938.38
  4. Step 4: Simplify right side
    52,785x = 12,086,446,297.64
  5. Step 5: Solve for x
    x = 12,086,446,297.64/52,785
  6. Step 6: Final answer
    x = 228,975.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.