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Finding the Third Proportional to 51,144 and 81,415

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Solution

The third proportional to 51,144 and 81,415 is: 129,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,144 : 81,415 = 81,415 : x
  2. Step 2: Convert to fraction form
    51,144/81,415 = 81,415/x
  3. Step 3: Cross multiply
    51,144x = 81,415 × 81,415
  4. Step 4: Simplify right side
    51,144x = 6,628,402,225
  5. Step 5: Solve for x
    x = 6,628,402,225/51,144
  6. Step 6: Final answer
    x = 129,602.73

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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.