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Finding the Third Proportional to 64,228.50 and 135,381.38

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Solution

The third proportional to 64,228.50 and 135,381.38 is: 285,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,228.50 : 135,381.38 = 135,381.38 : x
  2. Step 2: Convert to fraction form
    64,228.50/135,381.38 = 135,381.38/x
  3. Step 3: Cross multiply
    64,228.50x = 135,381.38 × 135,381.38
  4. Step 4: Simplify right side
    64,228.50x = 18,328,116,696.89
  5. Step 5: Solve for x
    x = 18,328,116,696.89/64,228.50
  6. Step 6: Final answer
    x = 285,358.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.