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Finding the Third Proportional to 66,156.75 and 135,821.81

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Solution

The third proportional to 66,156.75 and 135,821.81 is: 278,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,156.75 : 135,821.81 = 135,821.81 : x
  2. Step 2: Convert to fraction form
    66,156.75/135,821.81 = 135,821.81/x
  3. Step 3: Cross multiply
    66,156.75x = 135,821.81 × 135,821.81
  4. Step 4: Simplify right side
    66,156.75x = 18,447,564,750.79
  5. Step 5: Solve for x
    x = 18,447,564,750.79/66,156.75
  6. Step 6: Final answer
    x = 278,846.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.