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Finding the Third Proportional to 17,559 and 19,323

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Solution

The third proportional to 17,559 and 19,323 is: 21,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,559 : 19,323 = 19,323 : x
  2. Step 2: Convert to fraction form
    17,559/19,323 = 19,323/x
  3. Step 3: Cross multiply
    17,559x = 19,323 × 19,323
  4. Step 4: Simplify right side
    17,559x = 373,378,329
  5. Step 5: Solve for x
    x = 373,378,329/17,559
  6. Step 6: Final answer
    x = 21,264.21

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.