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Finding the Third Proportional to 19,346 and 30,675

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Solution

The third proportional to 19,346 and 30,675 is: 48,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,346 : 30,675 = 30,675 : x
  2. Step 2: Convert to fraction form
    19,346/30,675 = 30,675/x
  3. Step 3: Cross multiply
    19,346x = 30,675 × 30,675
  4. Step 4: Simplify right side
    19,346x = 940,955,625
  5. Step 5: Solve for x
    x = 940,955,625/19,346
  6. Step 6: Final answer
    x = 48,638.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.