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Finding the Third Proportional to 51,148 and 81,421

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Solution

The third proportional to 51,148 and 81,421 is: 129,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,148 : 81,421 = 81,421 : x
  2. Step 2: Convert to fraction form
    51,148/81,421 = 81,421/x
  3. Step 3: Cross multiply
    51,148x = 81,421 × 81,421
  4. Step 4: Simplify right side
    51,148x = 6,629,379,241
  5. Step 5: Solve for x
    x = 6,629,379,241/51,148
  6. Step 6: Final answer
    x = 129,611.70

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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.