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Finding the Third Proportional to 43,142 and 63,279

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Solution

The third proportional to 43,142 and 63,279 is: 92,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,142 : 63,279 = 63,279 : x
  2. Step 2: Convert to fraction form
    43,142/63,279 = 63,279/x
  3. Step 3: Cross multiply
    43,142x = 63,279 × 63,279
  4. Step 4: Simplify right side
    43,142x = 4,004,231,841
  5. Step 5: Solve for x
    x = 4,004,231,841/43,142
  6. Step 6: Final answer
    x = 92,815.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.