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Finding the Third Proportional to 7,860 and 16,964

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Solution

The third proportional to 7,860 and 16,964 is: 36,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 16,964 = 16,964 : x
  2. Step 2: Convert to fraction form
    7,860/16,964 = 16,964/x
  3. Step 3: Cross multiply
    7,860x = 16,964 × 16,964
  4. Step 4: Simplify right side
    7,860x = 287,777,296
  5. Step 5: Solve for x
    x = 287,777,296/7,860
  6. Step 6: Final answer
    x = 36,612.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.