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Finding the Third Proportional to 15,692 and 19,040

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Solution

The third proportional to 15,692 and 19,040 is: 23,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692 : 19,040 = 19,040 : x
  2. Step 2: Convert to fraction form
    15,692/19,040 = 19,040/x
  3. Step 3: Cross multiply
    15,692x = 19,040 × 19,040
  4. Step 4: Simplify right side
    15,692x = 362,521,600
  5. Step 5: Solve for x
    x = 362,521,600/15,692
  6. Step 6: Final answer
    x = 23,102.32

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.