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Finding the Third Proportional to 66,485.81 and 142,311.94

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Solution

The third proportional to 66,485.81 and 142,311.94 is: 304,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,485.81 : 142,311.94 = 142,311.94 : x
  2. Step 2: Convert to fraction form
    66,485.81/142,311.94 = 142,311.94/x
  3. Step 3: Cross multiply
    66,485.81x = 142,311.94 × 142,311.94
  4. Step 4: Simplify right side
    66,485.81x = 20,252,687,555.00
  5. Step 5: Solve for x
    x = 20,252,687,555.00/66,485.81
  6. Step 6: Final answer
    x = 304,616.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.