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Finding the Third Proportional to 53,774 and 85,415

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Solution

The third proportional to 53,774 and 85,415 is: 135,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,774 : 85,415 = 85,415 : x
  2. Step 2: Convert to fraction form
    53,774/85,415 = 85,415/x
  3. Step 3: Cross multiply
    53,774x = 85,415 × 85,415
  4. Step 4: Simplify right side
    53,774x = 7,295,722,225
  5. Step 5: Solve for x
    x = 7,295,722,225/53,774
  6. Step 6: Final answer
    x = 135,673.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.