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Finding the Third Proportional to 21,378 and 45,904

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Solution

The third proportional to 21,378 and 45,904 is: 98,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378 : 45,904 = 45,904 : x
  2. Step 2: Convert to fraction form
    21,378/45,904 = 45,904/x
  3. Step 3: Cross multiply
    21,378x = 45,904 × 45,904
  4. Step 4: Simplify right side
    21,378x = 2,107,177,216
  5. Step 5: Solve for x
    x = 2,107,177,216/21,378
  6. Step 6: Final answer
    x = 98,567.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.