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Finding the Third Proportional to 51,085 and 79,284

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Solution

The third proportional to 51,085 and 79,284 is: 123,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,085 : 79,284 = 79,284 : x
  2. Step 2: Convert to fraction form
    51,085/79,284 = 79,284/x
  3. Step 3: Cross multiply
    51,085x = 79,284 × 79,284
  4. Step 4: Simplify right side
    51,085x = 6,285,952,656
  5. Step 5: Solve for x
    x = 6,285,952,656/51,085
  6. Step 6: Final answer
    x = 123,048.89

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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.