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Finding the Third Proportional to 15,596 and 21,174

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Solution

The third proportional to 15,596 and 21,174 is: 28,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596 : 21,174 = 21,174 : x
  2. Step 2: Convert to fraction form
    15,596/21,174 = 21,174/x
  3. Step 3: Cross multiply
    15,596x = 21,174 × 21,174
  4. Step 4: Simplify right side
    15,596x = 448,338,276
  5. Step 5: Solve for x
    x = 448,338,276/15,596
  6. Step 6: Final answer
    x = 28,747.00

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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.