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Finding the Third Proportional to 66,384.56 and 143,324.44

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Solution

The third proportional to 66,384.56 and 143,324.44 is: 309,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,384.56 : 143,324.44 = 143,324.44 : x
  2. Step 2: Convert to fraction form
    66,384.56/143,324.44 = 143,324.44/x
  3. Step 3: Cross multiply
    66,384.56x = 143,324.44 × 143,324.44
  4. Step 4: Simplify right side
    66,384.56x = 20,541,894,384.69
  5. Step 5: Solve for x
    x = 20,541,894,384.69/66,384.56
  6. Step 6: Final answer
    x = 309,437.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.