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Finding the Third Proportional to 13,688 and 21,236

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Solution

The third proportional to 13,688 and 21,236 is: 32,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688 : 21,236 = 21,236 : x
  2. Step 2: Convert to fraction form
    13,688/21,236 = 21,236/x
  3. Step 3: Cross multiply
    13,688x = 21,236 × 21,236
  4. Step 4: Simplify right side
    13,688x = 450,967,696
  5. Step 5: Solve for x
    x = 450,967,696/13,688
  6. Step 6: Final answer
    x = 32,946.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.