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Finding the Third Proportional to 21,420 and 45,837

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Solution

The third proportional to 21,420 and 45,837 is: 98,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420 : 45,837 = 45,837 : x
  2. Step 2: Convert to fraction form
    21,420/45,837 = 45,837/x
  3. Step 3: Cross multiply
    21,420x = 45,837 × 45,837
  4. Step 4: Simplify right side
    21,420x = 2,101,030,569
  5. Step 5: Solve for x
    x = 2,101,030,569/21,420
  6. Step 6: Final answer
    x = 98,087.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.