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Finding the Third Proportional to 66,857.06 and 145,708.88

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Solution

The third proportional to 66,857.06 and 145,708.88 is: 317,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,857.06 : 145,708.88 = 145,708.88 : x
  2. Step 2: Convert to fraction form
    66,857.06/145,708.88 = 145,708.88/x
  3. Step 3: Cross multiply
    66,857.06x = 145,708.88 × 145,708.88
  4. Step 4: Simplify right side
    66,857.06x = 21,231,076,253.77
  5. Step 5: Solve for x
    x = 21,231,076,253.77/66,857.06
  6. Step 6: Final answer
    x = 317,559.21

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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.