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Finding the Third Proportional to 51,405 and 114,629

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Solution

The third proportional to 51,405 and 114,629 is: 255,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405 : 114,629 = 114,629 : x
  2. Step 2: Convert to fraction form
    51,405/114,629 = 114,629/x
  3. Step 3: Cross multiply
    51,405x = 114,629 × 114,629
  4. Step 4: Simplify right side
    51,405x = 13,139,807,641
  5. Step 5: Solve for x
    x = 13,139,807,641/51,405
  6. Step 6: Final answer
    x = 255,613.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.