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Finding the Third Proportional to 53,856 and 83,756.75

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Solution

The third proportional to 53,856 and 83,756.75 is: 130,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856 : 83,756.75 = 83,756.75 : x
  2. Step 2: Convert to fraction form
    53,856/83,756.75 = 83,756.75/x
  3. Step 3: Cross multiply
    53,856x = 83,756.75 × 83,756.75
  4. Step 4: Simplify right side
    53,856x = 7,015,193,170.56
  5. Step 5: Solve for x
    x = 7,015,193,170.56/53,856
  6. Step 6: Final answer
    x = 130,258.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.