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Finding the Third Proportional to 66,943.50 and 96,729.75

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Solution

The third proportional to 66,943.50 and 96,729.75 is: 139,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,943.50 : 96,729.75 = 96,729.75 : x
  2. Step 2: Convert to fraction form
    66,943.50/96,729.75 = 96,729.75/x
  3. Step 3: Cross multiply
    66,943.50x = 96,729.75 × 96,729.75
  4. Step 4: Simplify right side
    66,943.50x = 9,356,644,535.06
  5. Step 5: Solve for x
    x = 9,356,644,535.06/66,943.50
  6. Step 6: Final answer
    x = 139,769.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.