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Finding the Third Proportional to 51,102 and 81,261

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Solution

The third proportional to 51,102 and 81,261 is: 129,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102 : 81,261 = 81,261 : x
  2. Step 2: Convert to fraction form
    51,102/81,261 = 81,261/x
  3. Step 3: Cross multiply
    51,102x = 81,261 × 81,261
  4. Step 4: Simplify right side
    51,102x = 6,603,350,121
  5. Step 5: Solve for x
    x = 6,603,350,121/51,102
  6. Step 6: Final answer
    x = 129,219.02

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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.