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Finding the Third Proportional to 7,875 and 15,977

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Solution

The third proportional to 7,875 and 15,977 is: 32,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875 : 15,977 = 15,977 : x
  2. Step 2: Convert to fraction form
    7,875/15,977 = 15,977/x
  3. Step 3: Cross multiply
    7,875x = 15,977 × 15,977
  4. Step 4: Simplify right side
    7,875x = 255,264,529
  5. Step 5: Solve for x
    x = 255,264,529/7,875
  6. Step 6: Final answer
    x = 32,414.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.