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Finding the Third Proportional to 53,771 and 83,220

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Solution

The third proportional to 53,771 and 83,220 is: 128,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,771 : 83,220 = 83,220 : x
  2. Step 2: Convert to fraction form
    53,771/83,220 = 83,220/x
  3. Step 3: Cross multiply
    53,771x = 83,220 × 83,220
  4. Step 4: Simplify right side
    53,771x = 6,925,568,400
  5. Step 5: Solve for x
    x = 6,925,568,400/53,771
  6. Step 6: Final answer
    x = 128,797.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.