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Finding the Third Proportional to 8,560 and 12,786

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Solution

The third proportional to 8,560 and 12,786 is: 19,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560 : 12,786 = 12,786 : x
  2. Step 2: Convert to fraction form
    8,560/12,786 = 12,786/x
  3. Step 3: Cross multiply
    8,560x = 12,786 × 12,786
  4. Step 4: Simplify right side
    8,560x = 163,481,796
  5. Step 5: Solve for x
    x = 163,481,796/8,560
  6. Step 6: Final answer
    x = 19,098.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.