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Finding the Third Proportional to 63,885 and 135,964.50

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Solution

The third proportional to 63,885 and 135,964.50 is: 289,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,885 : 135,964.50 = 135,964.50 : x
  2. Step 2: Convert to fraction form
    63,885/135,964.50 = 135,964.50/x
  3. Step 3: Cross multiply
    63,885x = 135,964.50 × 135,964.50
  4. Step 4: Simplify right side
    63,885x = 18,486,345,260.25
  5. Step 5: Solve for x
    x = 18,486,345,260.25/63,885
  6. Step 6: Final answer
    x = 289,369.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.