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Finding the Third Proportional to 115,688 and 251,896

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Solution

The third proportional to 115,688 and 251,896 is: 548,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,688 : 251,896 = 251,896 : x
  2. Step 2: Convert to fraction form
    115,688/251,896 = 251,896/x
  3. Step 3: Cross multiply
    115,688x = 251,896 × 251,896
  4. Step 4: Simplify right side
    115,688x = 63,451,594,816
  5. Step 5: Solve for x
    x = 63,451,594,816/115,688
  6. Step 6: Final answer
    x = 548,471.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.