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Finding the Third Proportional to 7,148 and 14,758

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Solution

The third proportional to 7,148 and 14,758 is: 30,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148 : 14,758 = 14,758 : x
  2. Step 2: Convert to fraction form
    7,148/14,758 = 14,758/x
  3. Step 3: Cross multiply
    7,148x = 14,758 × 14,758
  4. Step 4: Simplify right side
    7,148x = 217,798,564
  5. Step 5: Solve for x
    x = 217,798,564/7,148
  6. Step 6: Final answer
    x = 30,469.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.