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Finding the Third Proportional to 51,084 and 79,731

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Solution

The third proportional to 51,084 and 79,731 is: 124,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084 : 79,731 = 79,731 : x
  2. Step 2: Convert to fraction form
    51,084/79,731 = 79,731/x
  3. Step 3: Cross multiply
    51,084x = 79,731 × 79,731
  4. Step 4: Simplify right side
    51,084x = 6,357,032,361
  5. Step 5: Solve for x
    x = 6,357,032,361/51,084
  6. Step 6: Final answer
    x = 124,442.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.