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Finding the Third Proportional to 66,146.63 and 144,190.13

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Solution

The third proportional to 66,146.63 and 144,190.13 is: 314,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,146.63 : 144,190.13 = 144,190.13 : x
  2. Step 2: Convert to fraction form
    66,146.63/144,190.13 = 144,190.13/x
  3. Step 3: Cross multiply
    66,146.63x = 144,190.13 × 144,190.13
  4. Step 4: Simplify right side
    66,146.63x = 20,790,792,147.52
  5. Step 5: Solve for x
    x = 20,790,792,147.52/66,146.63
  6. Step 6: Final answer
    x = 314,313.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.