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Finding the Third Proportional to 66,018 and 142,558.13

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Solution

The third proportional to 66,018 and 142,558.13 is: 307,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,018 : 142,558.13 = 142,558.13 : x
  2. Step 2: Convert to fraction form
    66,018/142,558.13 = 142,558.13/x
  3. Step 3: Cross multiply
    66,018x = 142,558.13 × 142,558.13
  4. Step 4: Simplify right side
    66,018x = 20,322,819,003.52
  5. Step 5: Solve for x
    x = 20,322,819,003.52/66,018
  6. Step 6: Final answer
    x = 307,837.54

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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.