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Finding the Third Proportional to 5,085 and 7,870

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Solution

The third proportional to 5,085 and 7,870 is: 12,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085 : 7,870 = 7,870 : x
  2. Step 2: Convert to fraction form
    5,085/7,870 = 7,870/x
  3. Step 3: Cross multiply
    5,085x = 7,870 × 7,870
  4. Step 4: Simplify right side
    5,085x = 61,936,900
  5. Step 5: Solve for x
    x = 61,936,900/5,085
  6. Step 6: Final answer
    x = 12,180.31

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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.