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Finding the Third Proportional to 15,420 and 17,040

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Solution

The third proportional to 15,420 and 17,040 is: 18,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420 : 17,040 = 17,040 : x
  2. Step 2: Convert to fraction form
    15,420/17,040 = 17,040/x
  3. Step 3: Cross multiply
    15,420x = 17,040 × 17,040
  4. Step 4: Simplify right side
    15,420x = 290,361,600
  5. Step 5: Solve for x
    x = 290,361,600/15,420
  6. Step 6: Final answer
    x = 18,830.19

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.