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Finding the Third Proportional to 51,397 and 74,908

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Solution

The third proportional to 51,397 and 74,908 is: 109,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,397 : 74,908 = 74,908 : x
  2. Step 2: Convert to fraction form
    51,397/74,908 = 74,908/x
  3. Step 3: Cross multiply
    51,397x = 74,908 × 74,908
  4. Step 4: Simplify right side
    51,397x = 5,611,208,464
  5. Step 5: Solve for x
    x = 5,611,208,464/51,397
  6. Step 6: Final answer
    x = 109,173.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.