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Finding the Third Proportional to 55,512 and 81,315

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Solution

The third proportional to 55,512 and 81,315 is: 119,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,512 : 81,315 = 81,315 : x
  2. Step 2: Convert to fraction form
    55,512/81,315 = 81,315/x
  3. Step 3: Cross multiply
    55,512x = 81,315 × 81,315
  4. Step 4: Simplify right side
    55,512x = 6,612,129,225
  5. Step 5: Solve for x
    x = 6,612,129,225/55,512
  6. Step 6: Final answer
    x = 119,111.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.