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Finding the Third Proportional to 15,972 and 21,688

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Solution

The third proportional to 15,972 and 21,688 is: 29,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972 : 21,688 = 21,688 : x
  2. Step 2: Convert to fraction form
    15,972/21,688 = 21,688/x
  3. Step 3: Cross multiply
    15,972x = 21,688 × 21,688
  4. Step 4: Simplify right side
    15,972x = 470,369,344
  5. Step 5: Solve for x
    x = 470,369,344/15,972
  6. Step 6: Final answer
    x = 29,449.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.