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Finding the Third Proportional to 66,485.81 and 153,755.72

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Solution

The third proportional to 66,485.81 and 153,755.72 is: 355,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,485.81 : 153,755.72 = 153,755.72 : x
  2. Step 2: Convert to fraction form
    66,485.81/153,755.72 = 153,755.72/x
  3. Step 3: Cross multiply
    66,485.81x = 153,755.72 × 153,755.72
  4. Step 4: Simplify right side
    66,485.81x = 23,640,821,048.33
  5. Step 5: Solve for x
    x = 23,640,821,048.33/66,485.81
  6. Step 6: Final answer
    x = 355,576.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.