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Finding the Third Proportional to 65,185.50 and 137,376.38

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Solution

The third proportional to 65,185.50 and 137,376.38 is: 289,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,185.50 : 137,376.38 = 137,376.38 : x
  2. Step 2: Convert to fraction form
    65,185.50/137,376.38 = 137,376.38/x
  3. Step 3: Cross multiply
    65,185.50x = 137,376.38 × 137,376.38
  4. Step 4: Simplify right side
    65,185.50x = 18,872,268,408.14
  5. Step 5: Solve for x
    x = 18,872,268,408.14/65,185.50
  6. Step 6: Final answer
    x = 289,516.36

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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.