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Finding the Third Proportional to 51,785 and 113,263

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Solution

The third proportional to 51,785 and 113,263 is: 247,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,785 : 113,263 = 113,263 : x
  2. Step 2: Convert to fraction form
    51,785/113,263 = 113,263/x
  3. Step 3: Cross multiply
    51,785x = 113,263 × 113,263
  4. Step 4: Simplify right side
    51,785x = 12,828,507,169
  5. Step 5: Solve for x
    x = 12,828,507,169/51,785
  6. Step 6: Final answer
    x = 247,726.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.