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Finding the Third Proportional to 5,257 and 10,787

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Solution

The third proportional to 5,257 and 10,787 is: 22,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257 : 10,787 = 10,787 : x
  2. Step 2: Convert to fraction form
    5,257/10,787 = 10,787/x
  3. Step 3: Cross multiply
    5,257x = 10,787 × 10,787
  4. Step 4: Simplify right side
    5,257x = 116,359,369
  5. Step 5: Solve for x
    x = 116,359,369/5,257
  6. Step 6: Final answer
    x = 22,134.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.