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Finding the Third Proportional to 56,138 and 121,718.75

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Solution

The third proportional to 56,138 and 121,718.75 is: 263,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,138 : 121,718.75 = 121,718.75 : x
  2. Step 2: Convert to fraction form
    56,138/121,718.75 = 121,718.75/x
  3. Step 3: Cross multiply
    56,138x = 121,718.75 × 121,718.75
  4. Step 4: Simplify right side
    56,138x = 14,815,454,101.56
  5. Step 5: Solve for x
    x = 14,815,454,101.56/56,138
  6. Step 6: Final answer
    x = 263,911.33

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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.