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Finding the Third Proportional to 12,688.50 and 26,682

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Solution

The third proportional to 12,688.50 and 26,682 is: 56,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.50 : 26,682 = 26,682 : x
  2. Step 2: Convert to fraction form
    12,688.50/26,682 = 26,682/x
  3. Step 3: Cross multiply
    12,688.50x = 26,682 × 26,682
  4. Step 4: Simplify right side
    12,688.50x = 711,929,124
  5. Step 5: Solve for x
    x = 711,929,124/12,688.50
  6. Step 6: Final answer
    x = 56,108.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.