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Finding the Third Proportional to 51,146 and 81,418

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Solution

The third proportional to 51,146 and 81,418 is: 129,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146 : 81,418 = 81,418 : x
  2. Step 2: Convert to fraction form
    51,146/81,418 = 81,418/x
  3. Step 3: Cross multiply
    51,146x = 81,418 × 81,418
  4. Step 4: Simplify right side
    51,146x = 6,628,890,724
  5. Step 5: Solve for x
    x = 6,628,890,724/51,146
  6. Step 6: Final answer
    x = 129,607.22

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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.