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Finding the Third Proportional to 19,368 and 38,832

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Solution

The third proportional to 19,368 and 38,832 is: 77,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,368 : 38,832 = 38,832 : x
  2. Step 2: Convert to fraction form
    19,368/38,832 = 38,832/x
  3. Step 3: Cross multiply
    19,368x = 38,832 × 38,832
  4. Step 4: Simplify right side
    19,368x = 1,507,924,224
  5. Step 5: Solve for x
    x = 1,507,924,224/19,368
  6. Step 6: Final answer
    x = 77,856.48

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.