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Finding the Third Proportional to 15,122.25 and 21,156

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Solution

The third proportional to 15,122.25 and 21,156 is: 29,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.25 : 21,156 = 21,156 : x
  2. Step 2: Convert to fraction form
    15,122.25/21,156 = 21,156/x
  3. Step 3: Cross multiply
    15,122.25x = 21,156 × 21,156
  4. Step 4: Simplify right side
    15,122.25x = 447,576,336
  5. Step 5: Solve for x
    x = 447,576,336/15,122.25
  6. Step 6: Final answer
    x = 29,597.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.