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Finding the Third Proportional to 7,888 and 18,964

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Solution

The third proportional to 7,888 and 18,964 is: 45,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888 : 18,964 = 18,964 : x
  2. Step 2: Convert to fraction form
    7,888/18,964 = 18,964/x
  3. Step 3: Cross multiply
    7,888x = 18,964 × 18,964
  4. Step 4: Simplify right side
    7,888x = 359,633,296
  5. Step 5: Solve for x
    x = 359,633,296/7,888
  6. Step 6: Final answer
    x = 45,592.46

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.