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Finding the Third Proportional to 1,748 and 4,092

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Solution

The third proportional to 1,748 and 4,092 is: 9,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748 : 4,092 = 4,092 : x
  2. Step 2: Convert to fraction form
    1,748/4,092 = 4,092/x
  3. Step 3: Cross multiply
    1,748x = 4,092 × 4,092
  4. Step 4: Simplify right side
    1,748x = 16,744,464
  5. Step 5: Solve for x
    x = 16,744,464/1,748
  6. Step 6: Final answer
    x = 9,579.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.