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Finding the Third Proportional to 51,922 and 81,343

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Solution

The third proportional to 51,922 and 81,343 is: 127,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,922 : 81,343 = 81,343 : x
  2. Step 2: Convert to fraction form
    51,922/81,343 = 81,343/x
  3. Step 3: Cross multiply
    51,922x = 81,343 × 81,343
  4. Step 4: Simplify right side
    51,922x = 6,616,683,649
  5. Step 5: Solve for x
    x = 6,616,683,649/51,922
  6. Step 6: Final answer
    x = 127,435.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.