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Finding the Third Proportional to 12,850 and 16,787

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Solution

The third proportional to 12,850 and 16,787 is: 21,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850 : 16,787 = 16,787 : x
  2. Step 2: Convert to fraction form
    12,850/16,787 = 16,787/x
  3. Step 3: Cross multiply
    12,850x = 16,787 × 16,787
  4. Step 4: Simplify right side
    12,850x = 281,803,369
  5. Step 5: Solve for x
    x = 281,803,369/12,850
  6. Step 6: Final answer
    x = 21,930.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.