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Finding the Third Proportional to 66,371.06 and 143,307.56

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Solution

The third proportional to 66,371.06 and 143,307.56 is: 309,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,371.06 : 143,307.56 = 143,307.56 : x
  2. Step 2: Convert to fraction form
    66,371.06/143,307.56 = 143,307.56/x
  3. Step 3: Cross multiply
    66,371.06x = 143,307.56 × 143,307.56
  4. Step 4: Simplify right side
    66,371.06x = 20,537,057,469.69
  5. Step 5: Solve for x
    x = 20,537,057,469.69/66,371.06
  6. Step 6: Final answer
    x = 309,427.88

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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.