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Finding the Third Proportional to 51,399 and 74,911

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Solution

The third proportional to 51,399 and 74,911 is: 109,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,399 : 74,911 = 74,911 : x
  2. Step 2: Convert to fraction form
    51,399/74,911 = 74,911/x
  3. Step 3: Cross multiply
    51,399x = 74,911 × 74,911
  4. Step 4: Simplify right side
    51,399x = 5,611,657,921
  5. Step 5: Solve for x
    x = 5,611,657,921/51,399
  6. Step 6: Final answer
    x = 109,178.35

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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.