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Finding the Third Proportional to 19,278 and 25,641

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Solution

The third proportional to 19,278 and 25,641 is: 34,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,278 : 25,641 = 25,641 : x
  2. Step 2: Convert to fraction form
    19,278/25,641 = 25,641/x
  3. Step 3: Cross multiply
    19,278x = 25,641 × 25,641
  4. Step 4: Simplify right side
    19,278x = 657,460,881
  5. Step 5: Solve for x
    x = 657,460,881/19,278
  6. Step 6: Final answer
    x = 34,104.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.