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Finding the Third Proportional to 13,548 and 19,332

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Solution

The third proportional to 13,548 and 19,332 is: 27,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548 : 19,332 = 19,332 : x
  2. Step 2: Convert to fraction form
    13,548/19,332 = 19,332/x
  3. Step 3: Cross multiply
    13,548x = 19,332 × 19,332
  4. Step 4: Simplify right side
    13,548x = 373,726,224
  5. Step 5: Solve for x
    x = 373,726,224/13,548
  6. Step 6: Final answer
    x = 27,585.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.