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Finding the Third Proportional to 15,654 and 21,321

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Solution

The third proportional to 15,654 and 21,321 is: 29,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654 : 21,321 = 21,321 : x
  2. Step 2: Convert to fraction form
    15,654/21,321 = 21,321/x
  3. Step 3: Cross multiply
    15,654x = 21,321 × 21,321
  4. Step 4: Simplify right side
    15,654x = 454,585,041
  5. Step 5: Solve for x
    x = 454,585,041/15,654
  6. Step 6: Final answer
    x = 29,039.55

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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.