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Finding the Third Proportional to 6,489 and 10,138

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Solution

The third proportional to 6,489 and 10,138 is: 15,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 10,138 = 10,138 : x
  2. Step 2: Convert to fraction form
    6,489/10,138 = 10,138/x
  3. Step 3: Cross multiply
    6,489x = 10,138 × 10,138
  4. Step 4: Simplify right side
    6,489x = 102,779,044
  5. Step 5: Solve for x
    x = 102,779,044/6,489
  6. Step 6: Final answer
    x = 15,838.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.