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Finding the Third Proportional to 66,751 and 145,042

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Solution

The third proportional to 66,751 and 145,042 is: 315,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,751 : 145,042 = 145,042 : x
  2. Step 2: Convert to fraction form
    66,751/145,042 = 145,042/x
  3. Step 3: Cross multiply
    66,751x = 145,042 × 145,042
  4. Step 4: Simplify right side
    66,751x = 21,037,181,764
  5. Step 5: Solve for x
    x = 21,037,181,764/66,751
  6. Step 6: Final answer
    x = 315,159.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.