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Finding the Third Proportional to 51,509 and 79,715

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Solution

The third proportional to 51,509 and 79,715 is: 123,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509 : 79,715 = 79,715 : x
  2. Step 2: Convert to fraction form
    51,509/79,715 = 79,715/x
  3. Step 3: Cross multiply
    51,509x = 79,715 × 79,715
  4. Step 4: Simplify right side
    51,509x = 6,354,481,225
  5. Step 5: Solve for x
    x = 6,354,481,225/51,509
  6. Step 6: Final answer
    x = 123,366.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.